532402416 has 320 divisors, whose sum is σ = 1949875200. Its totient is φ = 135281664.

The previous prime is 532402399. The next prime is 532402433. The reversal of 532402416 is 614204235.

532402416 is a `hidden beast` number, since 5 + 3 + 240 + 2 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (532402399) and next prime (532402433).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 532402416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1139815 + ... + 1140281.

It is an arithmetic number, because the mean of its divisors is an integer number (6093360).

Almost surely, 2^532402416 is an apocalyptic number.

532402416 is a gapful number since it is divisible by the number (56) 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 532402416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974937600).

532402416 is an abundant number, since it is smaller than the sum of its proper divisors (1417472784).

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

532402416 is a wasteful number, since it uses less digits than its factorization.

532402416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 532402416 is about 23073.8470134479. The cubic root of 532402416 is about 810.4881556798.

The spelling of 532402416 in words is "five hundred thirty-two million, four hundred two thousand, four hundred sixteen".