4680001400 has 48 divisors (see below), whose sum is σ = 11521070640. Its totient is φ = 1761881600.

The previous prime is 4680001399. The next prime is 4680001409. The reversal of 4680001400 is 41000864.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4680001409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 684836 + ... + 691635.

It is an arithmetic number, because the mean of its divisors is an integer number (240022305).

Almost surely, 2^4680001400 is an apocalyptic number.

4680001400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4680001400 is an abundant number, since it is smaller than the sum of its proper divisors (6841069240).

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

4680001400 is a wasteful number, since it uses less digits than its factorization.

4680001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376504 (or 1376495 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4680001400 is about 68410.5357382911. The cubic root of 4680001400 is about 1672.6894882662.

The spelling of 4680001400 in words is "four billion, six hundred eighty million, one thousand, four hundred".