4590420400 has 30 divisors (see below), whose sum is σ = 11028485972. Its totient is φ = 1836168000.

The previous prime is 4590420397. The next prime is 4590420413. The reversal of 4590420400 is 40240954.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5737626 + ... + 5738425.

Almost surely, 2^4590420400 is an apocalyptic number.

4590420400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4590420400 is an abundant number, since it is smaller than the sum of its proper divisors (6438065572).

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

4590420400 is a wasteful number, since it uses less digits than its factorization.

4590420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11476069 (or 11476058 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 4590420400 is about 67752.6412769274. The cubic root of 4590420400 is about 1661.9482134367.

The spelling of 4590420400 in words is "four billion, five hundred ninety million, four hundred twenty thousand, four hundred".