464424053400 has 72 divisors (see below), whose sum is σ = 1559690785380. Its totient is φ = 123846413760.

The previous prime is 464424053369. The next prime is 464424053411. The reversal of 464424053400 is 4350424464.

464424053400 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 240 + 5 + 3 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 129004882 + ... + 129008481.

Almost surely, 2^464424053400 is an apocalyptic number.

464424053400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464424053400 is an abundant number, since it is smaller than the sum of its proper divisors (1095266731980).

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

464424053400 is a wasteful number, since it uses less digits than its factorization.

464424053400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258013385 (or 258013373 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 464424053400 its reverse (4350424464), we get a palindrome (468774477864).

The spelling of 464424053400 in words is "four hundred sixty-four billion, four hundred twenty-four million, fifty-three thousand, four hundred".