478146240 has 672 divisors, whose sum is σ = 2050304256. Its totient is φ = 104509440.

The previous prime is 478146209. The next prime is 478146257. The reversal of 478146240 is 42641874.

478146240 is a `hidden beast` number, since 478 + 146 + 2 + 40 = 666.

It is a super-2 number, since 2×478146240² = 457247653652275200, which contains 22 as substring.

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 = 478146195 and 478146204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11119659 + ... + 11119701.

It is an arithmetic number, because the mean of its divisors is an integer number (3051048).

Almost surely, 2^478146240 is an apocalyptic number.

478146240 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 478146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025152128).

478146240 is an abundant number, since it is smaller than the sum of its proper divisors (1572158016).

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

478146240 is a wasteful number, since it uses less digits than its factorization.

478146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

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

The square root of 478146240 is about 21866.5552842692. Note that the first 3 decimals coincide. The cubic root of 478146240 is about 781.9642799556.

The spelling of 478146240 in words is "four hundred seventy-eight million, one hundred forty-six thousand, two hundred forty".