410913972 has 168 divisors, whose sum is σ = 1264802112. Its totient is φ = 114307200.

The previous prime is 410913947. The next prime is 410913989. The reversal of 410913972 is 279319014.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 836647 + ... + 837137.

It is an arithmetic number, because the mean of its divisors is an integer number (7528584).

Almost surely, 2^410913972 is an apocalyptic number.

410913972 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 410913972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632401056).

410913972 is an abundant number, since it is smaller than the sum of its proper divisors (853888140).

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

410913972 is a wasteful number, since it uses less digits than its factorization.

410913972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 410913972 is about 20271.0130975243. The cubic root of 410913972 is about 743.4474956317.

It can be divided in two parts, 4109 and 13972, that added together give a palindrome (18081).

The spelling of 410913972 in words is "four hundred ten million, nine hundred thirteen thousand, nine hundred seventy-two".