477246240 has 144 divisors (see below), whose sum is σ = 1681295616. Its totient is φ = 123148800.

The previous prime is 477246229. The next prime is 477246241. The reversal of 477246240 is 42642774.

It is a happy number.

477246240 is a `hidden beast` number, since 4 + 7 + 7 + 24 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 477246195 and 477246204.

It is not an unprimeable number, because it can be changed into a prime (477246241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39295 + ... + 49985.

It is an arithmetic number, because the mean of its divisors is an integer number (11675664).

Almost surely, 2^477246240 is an apocalyptic number.

477246240 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 477246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840647808).

477246240 is an abundant number, since it is smaller than the sum of its proper divisors (1204049376).

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

477246240 is a wasteful number, since it uses less digits than its factorization.

477246240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10743 (or 10732 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 477246240 is about 21845.9662180458. The cubic root of 477246240 is about 781.4733493465.

The spelling of 477246240 in words is "four hundred seventy-seven million, two hundred forty-six thousand, two hundred forty".