1002491952 has 320 divisors, whose sum is σ = 3428352000. Its totient is φ = 244823040.

The previous prime is 1002491939. The next prime is 1002491969. The reversal of 1002491952 is 2591942001.

It is a super-2 number, since 2×1002491952² = 2009980227649540608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5037549 + ... + 5037747.

It is an arithmetic number, because the mean of its divisors is an integer number (10713600).

Almost surely, 2^1002491952 is an apocalyptic number.

1002491952 is a gapful number since it is divisible by the number (12) 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 1002491952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714176000).

1002491952 is an abundant number, since it is smaller than the sum of its proper divisors (2425860048).

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

1002491952 is a wasteful number, since it uses less digits than its factorization.

1002491952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 1002491952 is about 31662.1533064320. The cubic root of 1002491952 is about 1000.8299616398.

It can be divided in two parts, 100249 and 1952, that added together give a palindrome (102201).

The spelling of 1002491952 in words is "one billion, two million, four hundred ninety-one thousand, nine hundred fifty-two".