1970574480 has 320 divisors, whose sum is σ = 7857830400. Its totient is φ = 450137088.

The previous prime is 1970574479. The next prime is 1970574491. The reversal of 1970574480 is 844750791.

It is a happy number.

1970574480 is a `hidden beast` number, since 1 + 9 + 70 + 574 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1223916 + ... + 1225524.

It is an arithmetic number, because the mean of its divisors is an integer number (24555720).

Almost surely, 2^1970574480 is an apocalyptic number.

1970574480 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 1970574480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928915200).

1970574480 is an abundant number, since it is smaller than the sum of its proper divisors (5887255920).

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

1970574480 is an equidigital number, since it uses as much as digits as its factorization.

1970574480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1970574480 is about 44391.1531726762. The cubic root of 1970574480 is about 1253.7115244948.

The spelling of 1970574480 in words is "one billion, nine hundred seventy million, five hundred seventy-four thousand, four hundred eighty".