413349552 has 180 divisors, whose sum is σ = 1453604880. Its totient is φ = 107331840.

The previous prime is 413349511. The next prime is 413349569. The reversal of 413349552 is 255943314.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120274 + ... + 123662.

Almost surely, 2^413349552 is an apocalyptic number.

413349552 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413349552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726802440).

413349552 is an abundant number, since it is smaller than the sum of its proper divisors (1040255328).

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

413349552 is a wasteful number, since it uses less digits than its factorization.

413349552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3412 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 413349552 is about 20330.9997786631. Note that the first 3 decimals coincide. The cubic root of 413349552 is about 744.9134635159.

The spelling of 413349552 in words is "four hundred thirteen million, three hundred forty-nine thousand, five hundred fifty-two".