1007452040 has 64 divisors (see below), whose sum is σ = 2598307200. Its totient is φ = 344383488.

The previous prime is 1007452001. The next prime is 1007452063. The reversal of 1007452040 is 402547001.

1007452040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1007452040² = 2029919225800323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1007451997 and 1007452015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91976 + ... + 102344.

It is an arithmetic number, because the mean of its divisors is an integer number (40598550).

Almost surely, 2^1007452040 is an apocalyptic number.

1007452040 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 1007452040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299153600).

1007452040 is an abundant number, since it is smaller than the sum of its proper divisors (1590855160).

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

1007452040 is a wasteful number, since it uses less digits than its factorization.

1007452040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10734 (or 10730 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 1007452040 is about 31740.3850008156. The cubic root of 1007452040 is about 1002.4778684301.

Adding to 1007452040 its reverse (402547001), we get a palindrome (1409999041).

The spelling of 1007452040 in words is "one billion, seven million, four hundred fifty-two thousand, forty".