407013000 has 64 divisors (see below), whose sum is σ = 1269889920. Its totient is φ = 108536000.

The previous prime is 407012971. The next prime is 407013073. The reversal of 407013000 is 310704.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64836 + ... + 70835.

It is an arithmetic number, because the mean of its divisors is an integer number (19842030).

Almost surely, 2^407013000 is an apocalyptic number.

407013000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407013000 is an abundant number, since it is smaller than the sum of its proper divisors (862876920).

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

407013000 is a wasteful number, since it uses less digits than its factorization.

407013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135695 (or 135681 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 407013000 is about 20174.5631922974. The cubic root of 407013000 is about 741.0873957394.

Adding to 407013000 its reverse (310704), we get a palindrome (407323704).

The spelling of 407013000 in words is "four hundred seven million, thirteen thousand".