416623488 has 128 divisors (see below), whose sum is σ = 1233792000. Its totient is φ = 123789312.

The previous prime is 416623457. The next prime is 416623531. The reversal of 416623488 is 884326614.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×416623488² = 347150261506572288, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 122353 + ... + 125711.

It is an arithmetic number, because the mean of its divisors is an integer number (9639000).

Almost surely, 2^416623488 is an apocalyptic number.

416623488 is a gapful number since it is divisible by the number (48) 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 416623488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896000).

416623488 is an abundant number, since it is smaller than the sum of its proper divisors (817168512).

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

416623488 is a wasteful number, since it uses less digits than its factorization.

416623488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3400 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 416623488 is about 20411.3568387797. The cubic root of 416623488 is about 746.8749900574.

It can be divided in two parts, 41662 and 3488, that added together give a triangular number (45150 = T₃₀₀).

The spelling of 416623488 in words is "four hundred sixteen million, six hundred twenty-three thousand, four hundred eighty-eight".