336413952 has 288 divisors, whose sum is σ = 1206777600. Its totient is φ = 90243072.

The previous prime is 336413951. The next prime is 336413971. The reversal of 336413952 is 259314633.

It is a happy number.

336413952 is a `hidden beast` number, since 3 + 3 + 641 + 3 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×336413952² = 226348694200516608, 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 (336413951) 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, 822324 + ... + 822732.

It is an arithmetic number, because the mean of its divisors is an integer number (4190200).

Almost surely, 2^336413952 is an apocalyptic number.

336413952 is a gapful number since it is divisible by the number (32) 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 336413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603388800).

336413952 is an abundant number, since it is smaller than the sum of its proper divisors (870363648).

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

336413952 is a wasteful number, since it uses less digits than its factorization.

336413952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 438 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 336413952 is about 18341.5907707047. The cubic root of 336413952 is about 695.4907094682.

The spelling of 336413952 in words is "three hundred thirty-six million, four hundred thirteen thousand, nine hundred fifty-two".