373280400 has 300 divisors, whose sum is σ = 1377232164. Its totient is φ = 96768000.

The previous prime is 373280399. The next prime is 373280417. The reversal of 373280400 is 4082373.

373280400 = T₂₈₈ + T₂₈₉ + ... + T₁₃₁₂.

It can be written as a sum of positive squares in 6 ways, for example, as 40144896 + 333135504 = 6336^2 + 18252^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1328260 + ... + 1328540.

Almost surely, 2^373280400 is an apocalyptic number.

373280400 is a gapful number since it is divisible by the number (30) 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 373280400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688616082).

373280400 is an abundant number, since it is smaller than the sum of its proper divisors (1003951764).

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

373280400 is a wasteful number, since it uses less digits than its factorization.

373280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 373280400 is about 19320.4658328934. The cubic root of 373280400 is about 720.0208327305.

It can be divided in two parts, 373280 and 400, that added together give a triangular number (373680 = T₈₆₄).

The spelling of 373280400 in words is "three hundred seventy-three million, two hundred eighty thousand, four hundred".