1625057280 has 576 divisors, whose sum is σ = 7052572800. Its totient is φ = 336199680.

The previous prime is 1625057267. The next prime is 1625057297. The reversal of 1625057280 is 827505261.

It is a happy number.

1625057280 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 0 + 572 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1625057280² = 5281622326561996800, which contains 22 as substring.

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

It is a congruent number.

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, 7096206 + ... + 7096434.

It is an arithmetic number, because the mean of its divisors is an integer number (12244050).

Almost surely, 2^1625057280 is an apocalyptic number.

1625057280 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 1625057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526286400).

1625057280 is an abundant number, since it is smaller than the sum of its proper divisors (5427515520).

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

1625057280 is a wasteful number, since it uses less digits than its factorization.

1625057280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1625057280 is about 40311.9992061917. Note that the first 3 decimals coincide. The cubic root of 1625057280 is about 1175.6811574879.

The spelling of 1625057280 in words is "one billion, six hundred twenty-five million, fifty-seven thousand, two hundred eighty".