412626640 has 40 divisors (see below), whose sum is σ = 960204168. Its totient is φ = 164904960.

The previous prime is 412626637. The next prime is 412626649. The reversal of 412626640 is 46626214.

It can be written as a sum of positive squares in 4 ways, for example, as 33779344 + 378847296 = 5812^2 + 19464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412626649) 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, 167820 + ... + 170260.

Almost surely, 2^412626640 is an apocalyptic number.

412626640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412626640 is an abundant number, since it is smaller than the sum of its proper divisors (547577528).

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

412626640 is a wasteful number, since it uses less digits than its factorization.

412626640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4567 (or 4561 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 412626640 is about 20313.2134336249. The cubic root of 412626640 is about 744.4789474038.

The spelling of 412626640 in words is "four hundred twelve million, six hundred twenty-six thousand, six hundred forty".