1680410400 has 72 divisors (see below), whose sum is σ = 5469743664. Its totient is φ = 448108800.

The previous prime is 1680410399. The next prime is 1680410437. The reversal of 1680410400 is 40140861.

It is a super-2 number, since 2×1680410400² = 5647558224856320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347686 + ... + 352485.

It is an arithmetic number, because the mean of its divisors is an integer number (75968662).

Almost surely, 2^1680410400 is an apocalyptic number.

1680410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680410400 is an abundant number, since it is smaller than the sum of its proper divisors (3789333264).

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

1680410400 is a wasteful number, since it uses less digits than its factorization.

1680410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700194 (or 700181 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1680410400 is about 40992.8091255040. The cubic root of 1680410400 is about 1188.8811836860.

The spelling of 1680410400 in words is "one billion, six hundred eighty million, four hundred ten thousand, four hundred".