336300400 has 120 divisors (see below), whose sum is σ = 857734784. Its totient is φ = 126489600.

The previous prime is 336300389. The next prime is 336300421. The reversal of 336300400 is 4003633.

It is a happy number.

It is a super-2 number, since 2×336300400² = 226195918080320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458434 + ... + 459166.

Almost surely, 2^336300400 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 336300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428867392).

336300400 is an abundant number, since it is smaller than the sum of its proper divisors (521434384).

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

336300400 is a wasteful number, since it uses less digits than its factorization.

336300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 336300400 is about 18338.4950309452. The cubic root of 336300400 is about 695.4124494874.

The spelling of 336300400 in words is "three hundred thirty-six million, three hundred thousand, four hundred".