415264140 has 72 divisors (see below), whose sum is σ = 1264431168. Its totient is φ = 110315520.

The previous prime is 415264123. The next prime is 415264141. The reversal of 415264140 is 41462514.

415264140 is a `hidden beast` number, since 4 + 15 + 2 + 641 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (415264141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44524 + ... + 53036.

It is an arithmetic number, because the mean of its divisors is an integer number (17561544).

Almost surely, 2^415264140 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 415264140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632215584).

415264140 is an abundant number, since it is smaller than the sum of its proper divisors (849167028).

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

415264140 is a wasteful number, since it uses less digits than its factorization.

415264140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8799 (or 8794 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 415264140 is about 20378.0308175250. The cubic root of 415264140 is about 746.0618104118.

The spelling of 415264140 in words is "four hundred fifteen million, two hundred sixty-four thousand, one hundred forty".