478376640 has 336 divisors, whose sum is σ = 1916216640. Its totient is φ = 107274240.

The previous prime is 478376627. The next prime is 478376653. The reversal of 478376640 is 46673874.

It is an interprime number because it is at equal distance from previous prime (478376627) and next prime (478376653).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1229566 + ... + 1229954.

Almost surely, 2^478376640 is an apocalyptic number.

478376640 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 478376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958108320).

478376640 is an abundant number, since it is smaller than the sum of its proper divisors (1437840000).

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

478376640 is a wasteful number, since it uses less digits than its factorization.

478376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 478376640 is about 21871.8229692909. The cubic root of 478376640 is about 782.0898591367.

The spelling of 478376640 in words is "four hundred seventy-eight million, three hundred seventy-six thousand, six hundred forty".