477066240 has 704 divisors, whose sum is σ = 2122329600. Its totient is φ = 99090432.

The previous prime is 477066221. The next prime is 477066287. The reversal of 477066240 is 42660774.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 477066195 and 477066204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16450546 + ... + 16450574.

Almost surely, 2^477066240 is an apocalyptic number.

477066240 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 477066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061164800).

477066240 is an abundant number, since it is smaller than the sum of its proper divisors (1645263360).

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

477066240 is a wasteful number, since it uses less digits than its factorization.

477066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 477066240 is about 21841.8460758243. The cubic root of 477066240 is about 781.3750891757.

The spelling of 477066240 in words is "four hundred seventy-seven million, sixty-six thousand, two hundred forty".