474121440 has 576 divisors, whose sum is σ = 1937295360. Its totient is φ = 104509440.

The previous prime is 474121433. The next prime is 474121447. The reversal of 474121440 is 44121474.

It is an interprime number because it is at equal distance from previous prime (474121433) and next prime (474121447).

It is a super-2 number, since 2×474121440² = 449582279735347200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474121447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11026059 + ... + 11026101.

It is an arithmetic number, because the mean of its divisors is an integer number (3363360).

Almost surely, 2^474121440 is an apocalyptic number.

474121440 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 474121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968647680).

474121440 is an abundant number, since it is smaller than the sum of its proper divisors (1463173920).

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

474121440 is a wasteful number, since it uses less digits than its factorization.

474121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 474121440 is about 21774.3298404337. The cubic root of 474121440 is about 779.7640311850.

The spelling of 474121440 in words is "four hundred seventy-four million, one hundred twenty-one thousand, four hundred forty".