373482900 has 270 divisors, whose sum is σ = 1409843358. Its totient is φ = 85276800.

The previous prime is 373482887. The next prime is 373482919. The reversal of 373482900 is 9284373.

It can be written as a sum of positive squares in 3 ways, for example, as 35070084 + 338412816 = 5922^2 + 18396^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 396430 + ... + 397370.

Almost surely, 2^373482900 is an apocalyptic number.

373482900 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 373482900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704921679).

373482900 is an abundant number, since it is smaller than the sum of its proper divisors (1036360458).

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

373482900 is a wasteful number, since it uses less digits than its factorization.

373482900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 373482900 is about 19325.7056792242. The cubic root of 373482900 is about 720.1510099922.

The spelling of 373482900 in words is "three hundred seventy-three million, four hundred eighty-two thousand, nine hundred".