1000752480 has 432 divisors, whose sum is σ = 4282138224. Its totient is φ = 210954240.

The previous prime is 1000752469. The next prime is 1000752499. The reversal of 1000752480 is 842570001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 916735 + ... + 917825.

It is an arithmetic number, because the mean of its divisors is an integer number (9912357).

Almost surely, 2^1000752480 is an apocalyptic number.

1000752480 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 1000752480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141069112).

1000752480 is an abundant number, since it is smaller than the sum of its proper divisors (3281385744).

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

1000752480 is a wasteful number, since it uses less digits than its factorization.

1000752480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1000752480 is about 31634.6721177887. The cubic root of 1000752480 is about 1000.2507637789.

The spelling of 1000752480 in words is "one billion, seven hundred fifty-two thousand, four hundred eighty".