130454400 has 192 divisors, whose sum is σ = 437114880. Its totient is φ = 34191360.

The previous prime is 130454377. The next prime is 130454407. The reversal of 130454400 is 4454031.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130454407) 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, 1027137 + ... + 1027263.

It is an arithmetic number, because the mean of its divisors is an integer number (2276640).

Almost surely, 2^130454400 is an apocalyptic number.

130454400 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 130454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218557440).

130454400 is an abundant number, since it is smaller than the sum of its proper divisors (306660480).

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

130454400 is a wasteful number, since it uses less digits than its factorization.

130454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 130454400 is about 11421.6636266351. The cubic root of 130454400 is about 507.1692458473.

The spelling of 130454400 in words is "one hundred thirty million, four hundred fifty-four thousand, four hundred".