130464400 has 120 divisors (see below), whose sum is σ = 345960000. Its totient is φ = 46886400.

The previous prime is 130464377. The next prime is 130464407. The reversal of 130464400 is 4464031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (130464407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655501 + ... + 655699.

It is an arithmetic number, because the mean of its divisors is an integer number (2883000).

Almost surely, 2^130464400 is an apocalyptic number.

130464400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172980000).

130464400 is an abundant number, since it is smaller than the sum of its proper divisors (215495600).

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

130464400 is a wasteful number, since it uses less digits than its factorization.

130464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 130464400 is about 11422.1013828455. The cubic root of 130464400 is about 507.1822045590.

The spelling of 130464400 in words is "one hundred thirty million, four hundred sixty-four thousand, four hundred".