130460400 has 360 divisors, whose sum is σ = 537298944. Its totient is φ = 28684800.

The previous prime is 130460389. The next prime is 130460413. The reversal of 130460400 is 4064031.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 781117 + ... + 781283.

Almost surely, 2^130460400 is an apocalyptic number.

130460400 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 130460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268649472).

130460400 is an abundant number, since it is smaller than the sum of its proper divisors (406838544).

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

130460400 is a wasteful number, since it uses less digits than its factorization.

130460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130460400 is about 11421.9262823746. The cubic root of 130460400 is about 507.1770211538.

The spelling of 130460400 in words is "one hundred thirty million, four hundred sixty thousand, four hundred".