407064640 has 56 divisors (see below), whose sum is σ = 980282520. Its totient is φ = 160985088.

The previous prime is 407064631. The next prime is 407064641. The reversal of 407064640 is 46460704.

It can be written as a sum of positive squares in 4 ways, for example, as 17239104 + 389825536 = 4152^2 + 19744^2 .

It is a super-2 number, since 2×407064640² = 331403242276659200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407064641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21334 + ... + 35626.

It is an arithmetic number, because the mean of its divisors is an integer number (17505045).

Almost surely, 2^407064640 is an apocalyptic number.

407064640 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 407064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490141260).

407064640 is an abundant number, since it is smaller than the sum of its proper divisors (573217880).

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

407064640 is a wasteful number, since it uses less digits than its factorization.

407064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14399 (or 14389 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 407064640 is about 20175.8429811495. The cubic root of 407064640 is about 741.1187363721.

It can be divided in two parts, 407064 and 640, that added together give a palindrome (407704).

The spelling of 407064640 in words is "four hundred seven million, sixty-four thousand, six hundred forty".