420061600 has 72 divisors (see below), whose sum is σ = 1171987488. Its totient is φ = 144019200.

The previous prime is 420061559. The next prime is 420061601. The reversal of 420061600 is 6160024.

It is not an unprimeable number, because it can be changed into a prime (420061601) 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, 31906 + ... + 43105.

It is an arithmetic number, because the mean of its divisors is an integer number (16277604).

Almost surely, 2^420061600 is an apocalyptic number.

420061600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420061600 is an abundant number, since it is smaller than the sum of its proper divisors (751925888).

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

420061600 is a wasteful number, since it uses less digits than its factorization.

420061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75038 (or 75025 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 420061600 is about 20495.4043629298. The cubic root of 420061600 is about 748.9238491971.

The spelling of 420061600 in words is "four hundred twenty million, sixty-one thousand, six hundred".