464963794400 has 72 divisors (see below), whose sum is σ = 1297249002000. Its totient is φ = 159416156160.

The previous prime is 464963794367. The next prime is 464963794409. The reversal of 464963794400 is 4497369464.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464963794409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41509025 + ... + 41520224.

It is an arithmetic number, because the mean of its divisors is an integer number (18017347250).

Almost surely, 2^464963794400 is an apocalyptic number.

464963794400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464963794400 is an abundant number, since it is smaller than the sum of its proper divisors (832285207600).

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

464963794400 is a wasteful number, since it uses less digits than its factorization.

464963794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83029276 (or 83029263 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 56.

The spelling of 464963794400 in words is "four hundred sixty-four billion, nine hundred sixty-three million, seven hundred ninety-four thousand, four hundred".