416247552 has 216 divisors, whose sum is σ = 1433048400. Its totient is φ = 118831104.

The previous prime is 416247551. The next prime is 416247553. The reversal of 416247552 is 255742614.

It is a happy number.

416247552 is a `hidden beast` number, since 4 + 1 + 62 + 47 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (416247551) and next prime (416247553).

It is a tau number, because it is divible by the number of its divisors (216).

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 (416247551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338074 + ... + 339302.

Almost surely, 2^416247552 is an apocalyptic number.

416247552 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 416247552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716524200).

416247552 is an abundant number, since it is smaller than the sum of its proper divisors (1016800848).

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

416247552 is a wasteful number, since it uses less digits than its factorization.

416247552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1241 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 416247552 is about 20402.1457695018. The cubic root of 416247552 is about 746.6502774180.

The spelling of 416247552 in words is "four hundred sixteen million, two hundred forty-seven thousand, five hundred fifty-two".