477435840 has 224 divisors, whose sum is σ = 1808317440. Its totient is φ = 104349696.

The previous prime is 477435793. The next prime is 477435851. The reversal of 477435840 is 48534774.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 477435792 and 477435801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153016 + ... + 156104.

Almost surely, 2^477435840 is an apocalyptic number.

477435840 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 477435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904158720).

477435840 is an abundant number, since it is smaller than the sum of its proper divisors (1330881600).

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

477435840 is a wasteful number, since it uses less digits than its factorization.

477435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 477435840 is about 21850.3052610255. The cubic root of 477435840 is about 781.5768233450.

The spelling of 477435840 in words is "four hundred seventy-seven million, four hundred thirty-five thousand, eight hundred forty".