417252528 has 240 divisors, whose sum is σ = 1472620032. Its totient is φ = 108028800.

The previous prime is 417252527. The next prime is 417252533. The reversal of 417252528 is 825252714.

It is a happy number.

417252528 is a `hidden beast` number, since 41 + 72 + 525 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 417252492 and 417252501.

It is not an unprimeable number, because it can be changed into a prime (417252523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1341493 + ... + 1341803.

Almost surely, 2^417252528 is an apocalyptic number.

417252528 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 417252528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736310016).

417252528 is an abundant number, since it is smaller than the sum of its proper divisors (1055367504).

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

417252528 is a wasteful number, since it uses less digits than its factorization.

417252528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 334 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 417252528 is about 20426.7600955218. The cubic root of 417252528 is about 747.2506913843.

It can be divided in two parts, 41725 and 2528, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 417252528 in words is "four hundred seventeen million, two hundred fifty-two thousand, five hundred twenty-eight".