413554152 has 128 divisors (see below), whose sum is σ = 1228608000. Its totient is φ = 114589440.

The previous prime is 413554147. The next prime is 413554157. The reversal of 413554152 is 251455314.

It is an interprime number because it is at equal distance from previous prime (413554147) and next prime (413554157).

It is not an unprimeable number, because it can be changed into a prime (413554157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144043 + ... + 146885.

It is an arithmetic number, because the mean of its divisors is an integer number (9598500).

Almost surely, 2^413554152 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 413554152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614304000).

413554152 is an abundant number, since it is smaller than the sum of its proper divisors (815053848).

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

413554152 is a wasteful number, since it uses less digits than its factorization.

413554152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2907 counting only the distinct ones).

The product of its digits is 12000, while the sum is 30.

The square root of 413554152 is about 20336.0308811725. The cubic root of 413554152 is about 745.0363491416.

The spelling of 413554152 in words is "four hundred thirteen million, five hundred fifty-four thousand, one hundred fifty-two".