102400464 has 40 divisors (see below), whose sum is σ = 265434400. Its totient is φ = 34017408.

The previous prime is 102400433. The next prime is 102400489. The reversal of 102400464 is 464004201.

It is a self number, because there is not a number n which added to its sum of digits gives 102400464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11262 + ... + 18210.

It is an arithmetic number, because the mean of its divisors is an integer number (6635860).

Almost surely, 2^102400464 is an apocalyptic number.

It is an amenable number.

102400464 is an abundant number, since it is smaller than the sum of its proper divisors (163033936).

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

102400464 is a wasteful number, since it uses less digits than its factorization.

102400464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7267 (or 7261 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 102400464 is about 10119.3114390259. The cubic root of 102400464 is about 467.8435447506.

Adding to 102400464 its reverse (464004201), we get a palindrome (566404665).

The spelling of 102400464 in words is "one hundred two million, four hundred thousand, four hundred sixty-four".