464426242400 has 36 divisors (see below), whose sum is σ = 1133780566212. Its totient is φ = 185770496640.

The previous prime is 464426242373. The next prime is 464426242409. The reversal of 464426242400 is 4242624464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464426242409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 290265602 + ... + 290267201.

It is an arithmetic number, because the mean of its divisors is an integer number (31493904617).

Almost surely, 2^464426242400 is an apocalyptic number.

464426242400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464426242400 is an abundant number, since it is smaller than the sum of its proper divisors (669354323812).

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

464426242400 is a wasteful number, since it uses less digits than its factorization.

464426242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580532823 (or 580532810 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 464426242400 its reverse (4242624464), we get a palindrome (468668866864).

The spelling of 464426242400 in words is "four hundred sixty-four billion, four hundred twenty-six million, two hundred forty-two thousand, four hundred".