464761440 has 576 divisors, whose sum is σ = 1945000512. Its totient is φ = 99532800.

The previous prime is 464761387. The next prime is 464761447. The reversal of 464761440 is 44167464.

464761440 is a `hidden beast` number, since 4 + 647 + 6 + 1 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×464761440² = 432006392221747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 464761395 and 464761404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464761447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7619010 + ... + 7619070.

It is an arithmetic number, because the mean of its divisors is an integer number (3376737).

Almost surely, 2^464761440 is an apocalyptic number.

464761440 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 464761440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972500256).

464761440 is an abundant number, since it is smaller than the sum of its proper divisors (1480239072).

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

464761440 is a wasteful number, since it uses less digits than its factorization.

464761440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 464761440 is about 21558.3264656605. The cubic root of 464761440 is about 774.5985794896.

The spelling of 464761440 in words is "four hundred sixty-four million, seven hundred sixty-one thousand, four hundred forty".