407622420 has 36 divisors (see below), whose sum is σ = 1236455220. Its totient is φ = 108699264.

The previous prime is 407622389. The next prime is 407622443. The reversal of 407622420 is 24226704.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 214856964 + 192765456 = 14658^2 + 13884^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1132105 + ... + 1132464.

Almost surely, 2^407622420 is an apocalyptic number.

It is an amenable number.

407622420 is an abundant number, since it is smaller than the sum of its proper divisors (828832800).

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

407622420 is a wasteful number, since it uses less digits than its factorization.

407622420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264584 (or 2264579 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 407622420 is about 20189.6612155826. The cubic root of 407622420 is about 741.4570876641.

The spelling of 407622420 in words is "four hundred seven million, six hundred twenty-two thousand, four hundred twenty".