464894640 has 400 divisors, whose sum is σ = 1902027072. Its totient is φ = 103016448.

The previous prime is 464894579. The next prime is 464894657. The reversal of 464894640 is 46498464.

It is a super-2 number, since 2×464894640² = 432254052601459200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1678182 + ... + 1678458.

Almost surely, 2^464894640 is an apocalyptic number.

464894640 is a gapful number since it is divisible by the number (40) 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 464894640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951013536).

464894640 is an abundant number, since it is smaller than the sum of its proper divisors (1437132432).

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

464894640 is a wasteful number, since it uses less digits than its factorization.

464894640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 464894640 is about 21561.4155379465. The cubic root of 464894640 is about 774.6725720564.

The spelling of 464894640 in words is "four hundred sixty-four million, eight hundred ninety-four thousand, six hundred forty".