410503968 has 216 divisors, whose sum is σ = 1430367120. Its totient is φ = 111041280.

The previous prime is 410503967. The next prime is 410503999. The reversal of 410503968 is 869305014.

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

It is not an unprimeable number, because it can be changed into a prime (410503967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 267363 + ... + 268893.

It is an arithmetic number, because the mean of its divisors is an integer number (6622070).

Almost surely, 2^410503968 is an apocalyptic number.

410503968 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 410503968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715183560).

410503968 is an abundant number, since it is smaller than the sum of its proper divisors (1019863152).

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

410503968 is a wasteful number, since it uses less digits than its factorization.

410503968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 410503968 is about 20260.8975122032. The cubic root of 410503968 is about 743.2001463043.

The spelling of 410503968 in words is "four hundred ten million, five hundred three thousand, nine hundred sixty-eight".