407024640 has 396 divisors, whose sum is σ = 1571432772. Its totient is φ = 97320960.

The previous prime is 407024623. The next prime is 407024749. The reversal of 407024640 is 46420704.

It can be written as a sum of positive squares in 2 ways, for example, as 188457984 + 218566656 = 13728^2 + 14784^2 .

It is a tau number, because it is divible by the number of its divisors (396).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5575644 + ... + 5575716.

Almost surely, 2^407024640 is an apocalyptic number.

407024640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785716386).

407024640 is an abundant number, since it is smaller than the sum of its proper divisors (1164408132).

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

407024640 is a wasteful number, since it uses less digits than its factorization.

407024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 94 counting only the distinct ones).

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

The square root of 407024640 is about 20174.8516723172. The cubic root of 407024640 is about 741.0944603582.

The spelling of 407024640 in words is "four hundred seven million, twenty-four thousand, six hundred forty".