333372400 has 90 divisors (see below), whose sum is σ = 830334752. Its totient is φ = 128620800.

The previous prime is 333372359. The next prime is 333372401. The reversal of 333372400 is 4273333.

It is a super-2 number, since 2×333372400² = 222274314163520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333372401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 335905 + ... + 336895.

Almost surely, 2^333372400 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 333372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415167376).

333372400 is an abundant number, since it is smaller than the sum of its proper divisors (496962352).

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

333372400 is a wasteful number, since it uses less digits than its factorization.

333372400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 25.

The square root of 333372400 is about 18258.4884368887. The cubic root of 333372400 is about 693.3883606063.

The spelling of 333372400 in words is "three hundred thirty-three million, three hundred seventy-two thousand, four hundred".