477192425472 has 780 divisors, whose sum is σ = 1677851811900. Its totient is φ = 134738214912.

The previous prime is 477192425459. The next prime is 477192425491. The reversal of 477192425472 is 274524291774.

477192425472 is a `hidden beast` number, since 4 + 7 + 7 + 1 + 92 + 4 + 2 + 547 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 287570497536 + 189621927936 = 536256^2 + 435456^2 .

It is a super-2 number, since 2×477192425472² (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 59 ways as a sum of consecutive naturals, for example, 2422296478 + ... + 2422296674.

Almost surely, 2^477192425472 is an apocalyptic number.

477192425472 is a gapful number since it is divisible by the number (42) 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 477192425472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838925905950).

477192425472 is an abundant number, since it is smaller than the sum of its proper divisors (1200659386428).

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

477192425472 is a wasteful number, since it uses less digits than its factorization.

477192425472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 358 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 477192425472 in words is "four hundred seventy-seven billion, one hundred ninety-two million, four hundred twenty-five thousand, four hundred seventy-two".