410421400 has 96 divisors (see below), whose sum is σ = 1004400000. Its totient is φ = 155750400.

The previous prime is 410421377. The next prime is 410421409. The reversal of 410421400 is 4124014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410421409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327976 + ... + 329224.

It is an arithmetic number, because the mean of its divisors is an integer number (10462500).

Almost surely, 2^410421400 is an apocalyptic number.

410421400 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 410421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502200000).

410421400 is an abundant number, since it is smaller than the sum of its proper divisors (593978600).

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

410421400 is a wasteful number, since it uses less digits than its factorization.

410421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 410421400 is about 20258.8597902251. The cubic root of 410421400 is about 743.1503143342.

Adding to 410421400 its reverse (4124014), we get a palindrome (414545414).

The spelling of 410421400 in words is "four hundred ten million, four hundred twenty-one thousand, four hundred".