407013552 has 160 divisors (see below), whose sum is σ = 1289084160. Its totient is φ = 121927680.

The previous prime is 407013547. The next prime is 407013583. The reversal of 407013552 is 255310704.

It is a happy number.

407013552 is a `hidden beast` number, since 40 + 70 + 1 + 3 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460503 + ... + 461385.

It is an arithmetic number, because the mean of its divisors is an integer number (8056776).

Almost surely, 2^407013552 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 407013552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644542080).

407013552 is an abundant number, since it is smaller than the sum of its proper divisors (882070608).

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

407013552 is a wasteful number, since it uses less digits than its factorization.

407013552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 407013552 is about 20174.5768728863. The cubic root of 407013552 is about 741.0877307656.

It can be divided in two parts, 40701 and 3552, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 407013552 in words is "four hundred seven million, thirteen thousand, five hundred fifty-two".