1797909480 has 256 divisors, whose sum is σ = 6270566400. Its totient is φ = 457678080.

The previous prime is 1797909467. The next prime is 1797909527. The reversal of 1797909480 is 849097971.

1797909480 is a `hidden beast` number, since 1 + 79 + 7 + 90 + 9 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2778517 + ... + 2779163.

It is an arithmetic number, because the mean of its divisors is an integer number (24494400).

Almost surely, 2^1797909480 is an apocalyptic number.

1797909480 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 1797909480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135283200).

1797909480 is an abundant number, since it is smaller than the sum of its proper divisors (4472656920).

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

1797909480 is a wasteful number, since it uses less digits than its factorization.

1797909480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 1797909480 is about 42401.7626992086. The cubic root of 1797909480 is about 1215.9692920598.

The spelling of 1797909480 in words is "one billion, seven hundred ninety-seven million, nine hundred nine thousand, four hundred eighty".