478777723452 has 360 divisors, whose sum is σ = 1516408629120. Its totient is φ = 131194183680.

The previous prime is 478777723451. The next prime is 478777723477. The reversal of 478777723452 is 254327777874.

It is a happy number.

478777723452 is a `hidden beast` number, since 47 + 8 + 7 + 77 + 72 + 3 + 452 = 666.

478777723452 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 478777723452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478777723451) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55609324 + ... + 55617932.

It is an arithmetic number, because the mean of its divisors is an integer number (4212246192).

Almost surely, 2^478777723452 is an apocalyptic number.

478777723452 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 478777723452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758204314560).

478777723452 is an abundant number, since it is smaller than the sum of its proper divisors (1037630905668).

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

478777723452 is a wasteful number, since it uses less digits than its factorization.

478777723452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8783 (or 8765 counting only the distinct ones).

The product of its digits is 129077760, while the sum is 63.

The spelling of 478777723452 in words is "four hundred seventy-eight billion, seven hundred seventy-seven million, seven hundred twenty-three thousand, four hundred fifty-two".