477240000 has 280 divisors, whose sum is σ = 1633014768. Its totient is φ = 122880000.

The previous prime is 477239993. The next prime is 477240007. The reversal of 477240000 is 42774.

It is an interprime number because it is at equal distance from previous prime (477239993) and next prime (477240007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (477240007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4919952 + ... + 4920048.

Almost surely, 2^477240000 is an apocalyptic number.

477240000 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 477240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816507384).

477240000 is an abundant number, since it is smaller than the sum of its proper divisors (1155774768).

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

477240000 is an equidigital number, since it uses as much as digits as its factorization.

477240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 477240000 is about 21845.8233994510. The cubic root of 477240000 is about 781.4699434074.

Adding to 477240000 its reverse (42774), we get a palindrome (477282774).

The spelling of 477240000 in words is "four hundred seventy-seven million, two hundred forty thousand".