978251400 has 288 divisors, whose sum is σ = 3976352640. Its totient is φ = 210401280.

The previous prime is 978251359. The next prime is 978251401. The reversal of 978251400 is 4152879.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (978251401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 211917 + ... + 216483.

It is an arithmetic number, because the mean of its divisors is an integer number (13806780).

Almost surely, 2^978251400 is an apocalyptic number.

978251400 is a gapful number since it is divisible by the number (90) 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 978251400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988176320).

978251400 is an abundant number, since it is smaller than the sum of its proper divisors (2998101240).

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

978251400 is a wasteful number, since it uses less digits than its factorization.

978251400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4613 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 978251400 is about 31277.0107267303. The cubic root of 978251400 is about 992.6972665692.

It can be divided in two parts, 97825 and 1400, that added together give a square (99225 = 315²).

The spelling of 978251400 in words is "nine hundred seventy-eight million, two hundred fifty-one thousand, four hundred".