407405152 has 48 divisors (see below), whose sum is σ = 1000000512. Its totient is φ = 158728320.

The previous prime is 407405149. The next prime is 407405161. The reversal of 407405152 is 251504704.

It is a super-2 number, since 2×407405152² = 331957915752286208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 407405152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80208 + ... + 85135.

It is an arithmetic number, because the mean of its divisors is an integer number (20833344).

Almost surely, 2^407405152 is an apocalyptic number.

It is an amenable number.

407405152 is an abundant number, since it is smaller than the sum of its proper divisors (592595360).

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

407405152 is a wasteful number, since it uses less digits than its factorization.

407405152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165371 (or 165363 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 407405152 is about 20184.2798236648. The cubic root of 407405152 is about 741.3253288590.

Adding to 407405152 its reverse (251504704), we get a palindrome (658909856).

The spelling of 407405152 in words is "four hundred seven million, four hundred five thousand, one hundred fifty-two".