1625486400 has 336 divisors, whose sum is σ = 5986759680. Its totient is φ = 429004800.

The previous prime is 1625486393. The next prime is 1625486411. The reversal of 1625486400 is 46845261.

1625486400 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 4 + 8 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8251102 + ... + 8251298.

Almost surely, 2^1625486400 is an apocalyptic number.

1625486400 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 1625486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993379840).

1625486400 is an abundant number, since it is smaller than the sum of its proper divisors (4361273280).

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

1625486400 is a wasteful number, since it uses less digits than its factorization.

1625486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1625486400 is about 40317.3213395930. The cubic root of 1625486400 is about 1175.7846336142.

The spelling of 1625486400 in words is "one billion, six hundred twenty-five million, four hundred eighty-six thousand, four hundred".