1625870400 has 672 divisors, whose sum is σ = 6857561088. Its totient is φ = 327475200.

The previous prime is 1625870371. The next prime is 1625870419. The reversal of 1625870400 is 40785261.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19588759 + ... + 19588841.

It is an arithmetic number, because the mean of its divisors is an integer number (10204704).

Almost surely, 2^1625870400 is an apocalyptic number.

1625870400 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 1625870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428780544).

1625870400 is an abundant number, since it is smaller than the sum of its proper divisors (5231690688).

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

1625870400 is a wasteful number, since it uses less digits than its factorization.

1625870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1625870400 is about 40322.0832795132. The cubic root of 1625870400 is about 1175.8772142617.

The spelling of 1625870400 in words is "one billion, six hundred twenty-five million, eight hundred seventy thousand, four hundred".