900275376 has 320 divisors, whose sum is σ = 3205794816. Its totient is φ = 210124800.

The previous prime is 900275303. The next prime is 900275413. The reversal of 900275376 is 673572009.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1969740 + ... + 1970196.

Almost surely, 2^900275376 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 900275376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602897408).

900275376 is an abundant number, since it is smaller than the sum of its proper divisors (2305519440).

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

900275376 is a wasteful number, since it uses less digits than its factorization.

900275376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 900275376 is about 30004.5892489799. The cubic root of 900275376 is about 965.5878458992.

The spelling of 900275376 in words is "nine hundred million, two hundred seventy-five thousand, three hundred seventy-six".