464404374400 has 48 divisors (see below), whose sum is σ = 1147223939040. Its totient is φ = 185761748480.

The previous prime is 464404374361. The next prime is 464404374449. The reversal of 464404374400 is 4473404464.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72559984 + ... + 72566383.

It is an arithmetic number, because the mean of its divisors is an integer number (23900498730).

Almost surely, 2^464404374400 is an apocalyptic number.

464404374400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464404374400 is an abundant number, since it is smaller than the sum of its proper divisors (682819564640).

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

464404374400 is a wasteful number, since it uses less digits than its factorization.

464404374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145126391 (or 145126374 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 40.

Adding to 464404374400 its reverse (4473404464), we get a palindrome (468877778864).

The spelling of 464404374400 in words is "four hundred sixty-four billion, four hundred four million, three hundred seventy-four thousand, four hundred".