1010882400 has 324 divisors, whose sum is σ = 3679084836. Its totient is φ = 240908800.

The previous prime is 1010882371. The next prime is 1010882413. The reversal of 1010882400 is 42880101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 17133571 + ... + 17133629.

Almost surely, 2^1010882400 is an apocalyptic number.

1010882400 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 1010882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839542418).

1010882400 is an abundant number, since it is smaller than the sum of its proper divisors (2668202436).

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

1010882400 is a wasteful number, since it uses less digits than its factorization.

1010882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 1010882400 is about 31794.3768613257. The cubic root of 1010882400 is about 1003.6143871331.

Multiplying 1010882400 by its sum of digits (24), we get a square (24261177600 = 155760²).

1010882400 divided by its sum of digits (24) gives a square (42120100 = 6490²).

The spelling of 1010882400 in words is "one billion, ten million, eight hundred eighty-two thousand, four hundred".