477953409024 has 960 divisors, whose sum is σ = 1803831214080. Its totient is φ = 121668894720.

The previous prime is 477953409019. The next prime is 477953409067. The reversal of 477953409024 is 420904359774.

It is a super-2 number, since 2×477953409024² (a number of 24 digits) contains 22 as substring.

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, 1247919937 + ... + 1247920319.

It is an arithmetic number, because the mean of its divisors is an integer number (1878990848).

Almost surely, 2^477953409024 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 477953409024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901915607040).

477953409024 is an abundant number, since it is smaller than the sum of its proper divisors (1325877805056).

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

477953409024 is a wasteful number, since it uses less digits than its factorization.

477953409024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 477953409024 in words is "four hundred seventy-seven billion, nine hundred fifty-three million, four hundred nine thousand, twenty-four".