1976282400 has 72 divisors (see below), whose sum is σ = 6432807024. Its totient is φ = 527008000.

The previous prime is 1976282387. The next prime is 1976282417. The reversal of 1976282400 is 42826791.

1976282400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409326 + ... + 414125.

It is an arithmetic number, because the mean of its divisors is an integer number (89344542).

Almost surely, 2^1976282400 is an apocalyptic number.

1976282400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1976282400 is an abundant number, since it is smaller than the sum of its proper divisors (4456524624).

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

1976282400 is a wasteful number, since it uses less digits than its factorization.

1976282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823474 (or 823461 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1976282400 is about 44455.3978724744. The cubic root of 1976282400 is about 1254.9208481162.

It can be divided in two parts, 197628 and 2400, that added together give a triangular number (200028 = T₆₃₂).

The spelling of 1976282400 in words is "one billion, nine hundred seventy-six million, two hundred eighty-two thousand, four hundred".