420254400 has 84 divisors (see below), whose sum is σ = 1378800392. Its totient is φ = 112066560.

The previous prime is 420254389. The next prime is 420254423. The reversal of 420254400 is 4452024.

It is a super-2 number, since 2×420254400² = 353227521438720000, which contains 22 as substring.

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, 38977 + ... + 48576.

Almost surely, 2^420254400 is an apocalyptic number.

420254400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420254400 is an abundant number, since it is smaller than the sum of its proper divisors (958545992).

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

420254400 is a wasteful number, since it uses less digits than its factorization.

420254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87578 (or 87563 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 420254400 is about 20500.1073167923. The cubic root of 420254400 is about 749.0384121030.

The spelling of 420254400 in words is "four hundred twenty million, two hundred fifty-four thousand, four hundred".