1978462800 has 120 divisors (see below), whose sum is σ = 7041900480. Its totient is φ = 527587200.

The previous prime is 1978462789. The next prime is 1978462813. The reversal of 1978462800 is 82648791.

1978462800 is a `hidden beast` number, since 19 + 7 + 8 + 4 + 628 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

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 23 ways as a sum of consecutive naturals, for example, 80796 + ... + 102395.

It is an arithmetic number, because the mean of its divisors is an integer number (58682504).

Almost surely, 2^1978462800 is an apocalyptic number.

1978462800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1978462800 is an abundant number, since it is smaller than the sum of its proper divisors (5063437680).

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

1978462800 is a wasteful number, since it uses less digits than its factorization.

1978462800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183218 (or 183201 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1978462800 is about 44479.9145682633. The cubic root of 1978462800 is about 1255.3821896995.

The spelling of 1978462800 in words is "one billion, nine hundred seventy-eight million, four hundred sixty-two thousand, eight hundred".