4681700400 has 120 divisors (see below), whose sum is σ = 16150719760. Its totient is φ = 1152414720.

The previous prime is 4681700371. The next prime is 4681700417. The reversal of 4681700400 is 40071864.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134455 + ... + 165654.

Almost surely, 2^4681700400 is an apocalyptic number.

4681700400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4681700400 is an abundant number, since it is smaller than the sum of its proper divisors (11469019360).

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

4681700400 is a wasteful number, since it uses less digits than its factorization.

4681700400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300143 (or 300132 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 4681700400 is about 68422.9522894182. The cubic root of 4681700400 is about 1672.8918782062.

The spelling of 4681700400 in words is "four billion, six hundred eighty-one million, seven hundred thousand, four hundred".