2456704476 has 144 divisors (see below), whose sum is σ = 6762921984. Its totient is φ = 748988928.

The previous prime is 2456704387. The next prime is 2456704483. The reversal of 2456704476 is 6744076542.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6414181 + ... + 6414563.

It is an arithmetic number, because the mean of its divisors is an integer number (46964736).

Almost surely, 2^2456704476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2456704476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381460992).

2456704476 is an abundant number, since it is smaller than the sum of its proper divisors (4306217508).

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

2456704476 is a wasteful number, since it uses less digits than its factorization.

2456704476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The square root of 2456704476 is about 49565.1538482430. The cubic root of 2456704476 is about 1349.3283308987.

The spelling of 2456704476 in words is "two billion, four hundred fifty-six million, seven hundred four thousand, four hundred seventy-six".