477253140480 has 340 divisors, whose sum is σ = 1711122992172. Its totient is φ = 127260426240.

The previous prime is 477253140437. The next prime is 477253140487. The reversal of 477253140480 is 84041352774.

477253140480 is a `hidden beast` number, since 4 + 7 + 7 + 25 + 3 + 140 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 367177826304 + 110075314176 = 605952^2 + 331776^2 .

It is a super-2 number, since 2×477253140480² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (477253140487) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26533090 + ... + 26551070.

Almost surely, 2^477253140480 is an apocalyptic number.

477253140480 is a gapful number since it is divisible by the number (40) 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 477253140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855561496086).

477253140480 is an abundant number, since it is smaller than the sum of its proper divisors (1233869851692).

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

477253140480 is an frugal number, since it uses more digits than its factorization.

477253140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18030 (or 17991 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 477253140480 in words is "four hundred seventy-seven billion, two hundred fifty-three million, one hundred forty thousand, four hundred eighty".