478654775040 has 288 divisors, whose sum is σ = 1670879540736. Its totient is φ = 116063354880.

The previous prime is 478654774991. The next prime is 478654775041. The reversal of 478654775040 is 40577456874.

It is a super-2 number, since 2×478654775040² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478654775041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3273085 + ... + 3416195.

It is an arithmetic number, because the mean of its divisors is an integer number (5801665072).

Almost surely, 2^478654775040 is an apocalyptic number.

478654775040 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 478654775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835439770368).

478654775040 is an abundant number, since it is smaller than the sum of its proper divisors (1192224765696).

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

478654775040 is a wasteful number, since it uses less digits than its factorization.

478654775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143215 (or 143201 counting only the distinct ones).

The product of its (nonzero) digits is 26342400, while the sum is 57.

The spelling of 478654775040 in words is "four hundred seventy-eight billion, six hundred fifty-four million, seven hundred seventy-five thousand, forty".