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464897664 = 27337111747
BaseRepresentation
bin11011101101011…
…100011010000000
31012101210020201000
4123231130122000
51423003211124
6114044212000
714343364530
oct3355343200
91171706630
10464897664
11219471550
1210b83a000
137541489a
1445a594c0
152ac326c9
hex1bb5c680

464897664 has 256 divisors, whose sum is σ = 1711641600. Its totient is φ = 120683520.

The previous prime is 464897659. The next prime is 464897717. The reversal of 464897664 is 466798464.

It is a super-2 number, since 2×4648976642 = 432259675985313792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 464897664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265239 + ... + 266985.

It is an arithmetic number, because the mean of its divisors is an integer number (6686100).

Almost surely, 2464897664 is an apocalyptic number.

464897664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855820800).

464897664 is an abundant number, since it is smaller than the sum of its proper divisors (1246743936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

464897664 is a wasteful number, since it uses less digits than its factorization.

464897664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1770 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 464897664 is about 21561.4856630984. The cubic root of 464897664 is about 774.6742517235.

The spelling of 464897664 in words is "four hundred sixty-four million, eight hundred ninety-seven thousand, six hundred sixty-four".