416543652 has 144 divisors (see below), whose sum is σ = 1261338624. Its totient is φ = 113400000.

The previous prime is 416543629. The next prime is 416543681. The reversal of 416543652 is 256345614.

It is a super-2 number, since 2×416543652² = 347017228042994208, which contains 22 as substring.

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

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 554277 + ... + 555027.

It is an arithmetic number, because the mean of its divisors is an integer number (8759296).

Almost surely, 2^416543652 is an apocalyptic number.

416543652 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 416543652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630669312).

416543652 is an abundant number, since it is smaller than the sum of its proper divisors (844794972).

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

416543652 is a wasteful number, since it uses less digits than its factorization.

416543652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 865 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 416543652 is about 20409.4010691152. The cubic root of 416543652 is about 746.8272800566.

The spelling of 416543652 in words is "four hundred sixteen million, five hundred forty-three thousand, six hundred fifty-two".