478214640 has 240 divisors, whose sum is σ = 1709042400. Its totient is φ = 119605248.

The previous prime is 478214623. The next prime is 478214657. The reversal of 478214640 is 46412874.

478214640 is a `hidden beast` number, since 4 + 7 + 8 + 2 + 1 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (478214623) and next prime (478214657).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 478214595 and 478214604.

It is a congruent number.

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, 772251 + ... + 772869.

It is an arithmetic number, because the mean of its divisors is an integer number (7121010).

Almost surely, 2^478214640 is an apocalyptic number.

478214640 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 478214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854521200).

478214640 is an abundant number, since it is smaller than the sum of its proper divisors (1230827760).

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

478214640 is a wasteful number, since it uses less digits than its factorization.

478214640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 478214640 is about 21868.1192606955. The cubic root of 478214640 is about 782.0015654846.

The spelling of 478214640 in words is "four hundred seventy-eight million, two hundred fourteen thousand, six hundred forty".