416867472 has 360 divisors, whose sum is σ = 1496529216. Its totient is φ = 109983744.

The previous prime is 416867453. The next prime is 416867497. The reversal of 416867472 is 274768614.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7865398 + ... + 7865450.

Almost surely, 2^416867472 is an apocalyptic number.

416867472 is a gapful number since it is divisible by the number (42) 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 416867472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748264608).

416867472 is an abundant number, since it is smaller than the sum of its proper divisors (1079661744).

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

416867472 is a wasteful number, since it uses less digits than its factorization.

416867472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 82 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 416867472 is about 20417.3326367574. The cubic root of 416867472 is about 747.0207571529.

The spelling of 416867472 in words is "four hundred sixteen million, eight hundred sixty-seven thousand, four hundred seventy-two".