413767152 has 60 divisors (see below), whose sum is σ = 1189285240. Its totient is φ = 134193024.

The previous prime is 413767147. The next prime is 413767153. The reversal of 413767152 is 251767314.

It is a happy number.

It is a super-2 number, since 2×413767152² = 342406512148382208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413767153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33502 + ... + 44157.

Almost surely, 2^413767152 is an apocalyptic number.

It is an amenable number.

413767152 is an abundant number, since it is smaller than the sum of its proper divisors (775518088).

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

413767152 is a wasteful number, since it uses less digits than its factorization.

413767152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77710 (or 77701 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 413767152 is about 20341.2672171623. The cubic root of 413767152 is about 745.1642368718.

It can be divided in two parts, 4137 and 67152, that added together give a square (71289 = 267²).

The spelling of 413767152 in words is "four hundred thirteen million, seven hundred sixty-seven thousand, one hundred fifty-two".