1956372480 has 448 divisors, whose sum is σ = 7313371200. Its totient is φ = 495452160.

The previous prime is 1956372437. The next prime is 1956372527. The reversal of 1956372480 is 842736591.

1956372480 is a `hidden beast` number, since 1 + 9 + 5 + 637 + 2 + 4 + 8 + 0 = 666.

1956372480 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

1956372480 is strictly pandigital in base 10.

It is a congruent number.

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, 32071650 + ... + 32071710.

It is a 1-persistent number, because it is pandigital, but 2⋅1956372480 = 3912744960 is not.

Almost surely, 2^1956372480 is an apocalyptic number.

1956372480 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 1956372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656685600).

1956372480 is an abundant number, since it is smaller than the sum of its proper divisors (5356998720).

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

1956372480 is an equidigital number, since it uses as much as digits as its factorization.

1956372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1956372480 is about 44230.8996064968. The cubic root of 1956372480 is about 1250.6924121149.

The spelling of 1956372480 in words is "one billion, nine hundred fifty-six million, three hundred seventy-two thousand, four hundred eighty".