1976486400 has 960 divisors, whose sum is σ = 8930380800. Its totient is φ = 418037760.

The previous prime is 1976486383. The next prime is 1976486401. The reversal of 1976486400 is 46846791.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1976486401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45964779 + ... + 45964821.

It is an arithmetic number, because the mean of its divisors is an integer number (9302480).

Almost surely, 2^1976486400 is an apocalyptic number.

1976486400 is a gapful number since it is divisible by the number (10) 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 1976486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4465190400).

1976486400 is an abundant number, since it is smaller than the sum of its proper divisors (6953894400).

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

1976486400 is a wasteful number, since it uses less digits than its factorization.

1976486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1976486400 is about 44457.6922477989. The cubic root of 1976486400 is about 1254.9640259949.

The spelling of 1976486400 in words is "one billion, nine hundred seventy-six million, four hundred eighty-six thousand, four hundred".