410012400 has 360 divisors, whose sum is σ = 1612634880. Its totient is φ = 88542720.

The previous prime is 410012377. The next prime is 410012401. The reversal of 410012400 is 4210014.

It is a super-2 number, since 2×410012400² = 336220336307520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410012401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1117017 + ... + 1117383.

Almost surely, 2^410012400 is an apocalyptic number.

410012400 is a gapful number since it is divisible by the number (40) 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 410012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806317440).

410012400 is an abundant number, since it is smaller than the sum of its proper divisors (1202622480).

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

410012400 is a wasteful number, since it uses less digits than its factorization.

410012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 410012400 is about 20248.7629251764. The cubic root of 410012400 is about 742.9033734260.

Adding to 410012400 its reverse (4210014), we get a palindrome (414222414).

The spelling of 410012400 in words is "four hundred ten million, twelve thousand, four hundred".