1005972480 has 352 divisors, whose sum is σ = 3773030400. Its totient is φ = 253476864.

The previous prime is 1005972427. The next prime is 1005972509. The reversal of 1005972480 is 842795001.

1005972480 is a `hidden beast` number, since 100 + 5 + 9 + 72 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2626369 + ... + 2626751.

Almost surely, 2^1005972480 is an apocalyptic number.

1005972480 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 1005972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886515200).

1005972480 is an abundant number, since it is smaller than the sum of its proper divisors (2767057920).

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

1005972480 is a wasteful number, since it uses less digits than its factorization.

1005972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1005972480 is about 31717.0692214776. The cubic root of 1005972480 is about 1001.9868763744.

The spelling of 1005972480 in words is "one billion, five million, nine hundred seventy-two thousand, four hundred eighty".