477450240 has 208 divisors, whose sum is σ = 1611988800. Its totient is φ = 120324096.

The previous prime is 477450209. The next prime is 477450247. The reversal of 477450240 is 42054774.

477450240 = T₄₅₈₄ + T₄₅₈₅ + ... + T₄₆₂₈.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477450247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167156 + ... + 1167564.

Almost surely, 2^477450240 is an apocalyptic number.

477450240 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 477450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805994400).

477450240 is an abundant number, since it is smaller than the sum of its proper divisors (1134538560).

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

477450240 is a wasteful number, since it uses less digits than its factorization.

477450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 477450240 is about 21850.6347733882. The cubic root of 477450240 is about 781.5846810103.

The spelling of 477450240 in words is "four hundred seventy-seven million, four hundred fifty thousand, two hundred forty".