461526400 has 96 divisors (see below), whose sum is σ = 1146857400. Its totient is φ = 183521280.

The previous prime is 461526347. The next prime is 461526431. The reversal of 461526400 is 4625164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 745291 + ... + 745909.

Almost surely, 2^461526400 is an apocalyptic number.

461526400 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 461526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573428700).

461526400 is an abundant number, since it is smaller than the sum of its proper divisors (685331000).

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

461526400 is a wasteful number, since it uses less digits than its factorization.

461526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 461526400 is about 21483.1655023183. The cubic root of 461526400 is about 772.7971577352.

The spelling of 461526400 in words is "four hundred sixty-one million, five hundred twenty-six thousand, four hundred".