401976900 has 432 divisors, whose sum is σ = 1501403904. Its totient is φ = 89026560.

The previous prime is 401976829. The next prime is 401976919. The reversal of 401976900 is 9679104.

It is a super-2 number, since 2×401976900² = 323170856267220000, which contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8552677 + ... + 8552723.

It is an arithmetic number, because the mean of its divisors is an integer number (3475472).

Almost surely, 2^401976900 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 401976900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750701952).

401976900 is an abundant number, since it is smaller than the sum of its proper divisors (1099427004).

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

401976900 is a wasteful number, since it uses less digits than its factorization.

401976900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 401976900 is about 20049.3615858461. The cubic root of 401976900 is about 738.0181325000.

The spelling of 401976900 in words is "four hundred one million, nine hundred seventy-six thousand, nine hundred".