464849280 has 576 divisors, whose sum is σ = 1968155280. Its totient is φ = 104509440.

The previous prime is 464849263. The next prime is 464849293. The reversal of 464849280 is 82948464.

464849280 is a `hidden beast` number, since 4 + 6 + 484 + 92 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7620450 + ... + 7620510.

Almost surely, 2^464849280 is an apocalyptic number.

464849280 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 464849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984077640).

464849280 is an abundant number, since it is smaller than the sum of its proper divisors (1503306000).

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

464849280 is an equidigital number, since it uses as much as digits as its factorization.

464849280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 464849280 is about 21560.3636332971. The cubic root of 464849280 is about 774.6473761749.

The spelling of 464849280 in words is "four hundred sixty-four million, eight hundred forty-nine thousand, two hundred eighty".