978903552 has 240 divisors, whose sum is σ = 3004182720. Its totient is φ = 282501120.

The previous prime is 978903547. The next prime is 978903553. The reversal of 978903552 is 255309879.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (978903553) 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 23 ways as a sum of consecutive naturals, for example, 4274574 + ... + 4274802.

It is an arithmetic number, because the mean of its divisors is an integer number (12517428).

Almost surely, 2^978903552 is an apocalyptic number.

978903552 is a gapful number since it is divisible by the number (92) 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 978903552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502091360).

978903552 is an abundant number, since it is smaller than the sum of its proper divisors (2025279168).

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

978903552 is a wasteful number, since it uses less digits than its factorization.

978903552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The square root of 978903552 is about 31287.4344106384. The cubic root of 978903552 is about 992.9178116833.

The spelling of 978903552 in words is "nine hundred seventy-eight million, nine hundred three thousand, five hundred fifty-two".