416159352 has 72 divisors (see below), whose sum is σ = 1311125400. Its totient is φ = 118901664.

The previous prime is 416159351. The next prime is 416159353. The reversal of 416159352 is 253951614.

416159352 is a `hidden beast` number, since 4 + 1 + 61 + 593 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (416159351) and next prime (416159353).

It is a tau number, because it is divible by the number of its divisors (72).

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 (416159351) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55452 + ... + 62507.

It is an arithmetic number, because the mean of its divisors is an integer number (18210075).

Almost surely, 2^416159352 is an apocalyptic number.

416159352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

416159352 is an abundant number, since it is smaller than the sum of its proper divisors (894966048).

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

416159352 is a wasteful number, since it uses less digits than its factorization.

416159352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117985 (or 117971 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 416159352 is about 20399.9841176409. The cubic root of 416159352 is about 746.5975370026.

The spelling of 416159352 in words is "four hundred sixteen million, one hundred fifty-nine thousand, three hundred fifty-two".