413969952 has 96 divisors (see below), whose sum is σ = 1203358464. Its totient is φ = 123552000.

The previous prime is 413969917. The next prime is 413969953. The reversal of 413969952 is 259969314.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×413969952² = 342742242317764608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (413969953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67827 + ... + 73677.

It is an arithmetic number, because the mean of its divisors is an integer number (12534984).

Almost surely, 2^413969952 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 413969952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601679232).

413969952 is an abundant number, since it is smaller than the sum of its proper divisors (789388512).

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

413969952 is a wasteful number, since it uses less digits than its factorization.

413969952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5942 (or 5934 counting only the distinct ones).

The product of its digits is 524880, while the sum is 48.

The square root of 413969952 is about 20346.2515466609. The cubic root of 413969952 is about 745.2859596199.

The spelling of 413969952 in words is "four hundred thirteen million, nine hundred sixty-nine thousand, nine hundred fifty-two".