478772640 has 288 divisors, whose sum is σ = 1774301760. Its totient is φ = 120559104.

The previous prime is 478772579. The next prime is 478772641. The reversal of 478772640 is 46277874.

It is a tau number, because it is divible by the number of its divisors (288).

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 (478772641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1559367 + ... + 1559673.

It is an arithmetic number, because the mean of its divisors is an integer number (6160770).

Almost surely, 2^478772640 is an apocalyptic number.

478772640 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 478772640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887150880).

478772640 is an abundant number, since it is smaller than the sum of its proper divisors (1295529120).

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

478772640 is a wasteful number, since it uses less digits than its factorization.

478772640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 478772640 is about 21880.8738399544. The cubic root of 478772640 is about 782.3056041787.

The spelling of 478772640 in words is "four hundred seventy-eight million, seven hundred seventy-two thousand, six hundred forty".