420661400 has 24 divisors (see below), whose sum is σ = 978038220. Its totient is φ = 168264480.

The previous prime is 420661369. The next prime is 420661427. The reversal of 420661400 is 4166024.

420661400 = 4090² + 4091² + ... + 4114².

It is a happy number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1051454 + ... + 1051853.

Almost surely, 2^420661400 is an apocalyptic number.

420661400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420661400 is an abundant number, since it is smaller than the sum of its proper divisors (557376820).

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

420661400 is a wasteful number, since it uses less digits than its factorization.

420661400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103323 (or 2103314 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 420661400 is about 20510.0316918331. The cubic root of 420661400 is about 749.2801389174.

The spelling of 420661400 in words is "four hundred twenty million, six hundred sixty-one thousand, four hundred".