461629802400 has 576 divisors, whose sum is σ = 1664325476352. Its totient is φ = 110420029440.

The previous prime is 461629802339. The next prime is 461629802507. The reversal of 461629802400 is 4208926164.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299176029 + ... + 299177571.

It is an arithmetic number, because the mean of its divisors is an integer number (2889453952).

Almost surely, 2^461629802400 is an apocalyptic number.

461629802400 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 461629802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832162738176).

461629802400 is an abundant number, since it is smaller than the sum of its proper divisors (1202695673952).

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

461629802400 is a wasteful number, since it uses less digits than its factorization.

461629802400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 461629802400 in words is "four hundred sixty-one billion, six hundred twenty-nine million, eight hundred two thousand, four hundred".