416545920 has 192 divisors, whose sum is σ = 1644027840. Its totient is φ = 95201280.

The previous prime is 416545919. The next prime is 416545931. The reversal of 416545920 is 29545614.

416545920 is a `hidden beast` number, since 4 + 1 + 65 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35155 + ... + 45485.

It is an arithmetic number, because the mean of its divisors is an integer number (8562645).

Almost surely, 2^416545920 is an apocalyptic number.

416545920 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 416545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822013920).

416545920 is an abundant number, since it is smaller than the sum of its proper divisors (1227481920).

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

416545920 is a wasteful number, since it uses less digits than its factorization.

416545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10363 (or 10348 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 416545920 is about 20409.4566316695. The cubic root of 416545920 is about 746.8286354977.

It can be divided in two parts, 41654 and 5920, that added together give a palindrome (47574).

The spelling of 416545920 in words is "four hundred sixteen million, five hundred forty-five thousand, nine hundred twenty".