478011739392 has 1152 divisors, whose sum is σ = 1691136921600. Its totient is φ = 131707699200.

The previous prime is 478011739379. The next prime is 478011739417. The reversal of 478011739392 is 293937110874.

478011739392 is a `hidden beast` number, since 4 + 7 + 80 + 1 + 173 + 9 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4230192328 + ... + 4230192440.

It is an arithmetic number, because the mean of its divisors is an integer number (1468000800).

Almost surely, 2^478011739392 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 478011739392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845568460800).

478011739392 is an abundant number, since it is smaller than the sum of its proper divisors (1213125182208).

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

478011739392 is a wasteful number, since it uses less digits than its factorization.

478011739392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 478011739392 in words is "four hundred seventy-eight billion, eleven million, seven hundred thirty-nine thousand, three hundred ninety-two".