474459120 has 400 divisors, whose sum is σ = 1798679520. Its totient is φ = 115458048.

The previous prime is 474459077. The next prime is 474459121. The reversal of 474459120 is 21954474.

It is a happy number.

474459120 is a `hidden beast` number, since 4 + 7 + 44 + 591 + 20 = 666.

It is a super-2 number, since 2×474459120² = 450222913102348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474459121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6499404 + ... + 6499476.

Almost surely, 2^474459120 is an apocalyptic number.

474459120 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 474459120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899339760).

474459120 is an abundant number, since it is smaller than the sum of its proper divisors (1324220400).

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

474459120 is a wasteful number, since it uses less digits than its factorization.

474459120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 474459120 is about 21782.0825450644. The cubic root of 474459120 is about 779.9491091057.

It can be divided in two parts, 47445 and 9120, that added together give a palindrome (56565).

The spelling of 474459120 in words is "four hundred seventy-four million, four hundred fifty-nine thousand, one hundred twenty".