407604020 has 24 divisors (see below), whose sum is σ = 858902184. Its totient is φ = 162482816.

The previous prime is 407603993. The next prime is 407604073. The reversal of 407604020 is 20406704.

It can be written as a sum of positive squares in 4 ways, for example, as 176199076 + 231404944 = 13274^2 + 15212^2 .

It is a super-2 number, since 2×407604020² = 332282074240320800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 28919 + ... + 40638.

It is an arithmetic number, because the mean of its divisors is an integer number (35787591).

Almost surely, 2^407604020 is an apocalyptic number.

It is an amenable number.

407604020 is an abundant number, since it is smaller than the sum of its proper divisors (451298164).

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

407604020 is a wasteful number, since it uses less digits than its factorization.

407604020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69859 (or 69857 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 407604020 is about 20189.2055316696. The cubic root of 407604020 is about 741.4459310847.

The spelling of 407604020 in words is "four hundred seven million, six hundred four thousand, twenty".