978346400 has 72 divisors (see below), whose sum is σ = 2492277984. Its totient is φ = 374316800.

The previous prime is 978346399. The next prime is 978346403. The reversal of 978346400 is 4643879.

It is not an unprimeable number, because it can be changed into a prime (978346403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8186 + ... + 44985.

It is an arithmetic number, because the mean of its divisors is an integer number (34614972).

Almost surely, 2^978346400 is an apocalyptic number.

It is an amenable number.

978346400 is an abundant number, since it is smaller than the sum of its proper divisors (1513931584).

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

978346400 is a wasteful number, since it uses less digits than its factorization.

978346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53214 (or 53201 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 978346400 is about 31278.5293771942. The cubic root of 978346400 is about 992.7293998182.

The spelling of 978346400 in words is "nine hundred seventy-eight million, three hundred forty-six thousand, four hundred".