407020356 has 96 divisors (see below), whose sum is σ = 1119552000. Its totient is φ = 127518624.

The previous prime is 407020331. The next prime is 407020379. The reversal of 407020356 is 653020704.

It is a happy number.

407020356 is a `hidden beast` number, since 407 + 0 + 203 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284515 + ... + 285941.

It is an arithmetic number, because the mean of its divisors is an integer number (11662000).

Almost surely, 2^407020356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407020356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559776000).

407020356 is an abundant number, since it is smaller than the sum of its proper divisors (712531644).

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

407020356 is a wasteful number, since it uses less digits than its factorization.

407020356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 407020356 is about 20174.7455002535. The cubic root of 407020356 is about 741.0918603029.

The spelling of 407020356 in words is "four hundred seven million, twenty thousand, three hundred fifty-six".