413897400 has 288 divisors, whose sum is σ = 1608647040. Its totient is φ = 93415680.

The previous prime is 413897359. The next prime is 413897401. The reversal of 413897400 is 4798314.

It is a happy number.

It is a super-2 number, since 2×413897400² = 342622115453520000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413897401) 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, 1348047 + ... + 1348353.

It is an arithmetic number, because the mean of its divisors is an integer number (5585580).

Almost surely, 2^413897400 is an apocalyptic number.

413897400 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 413897400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804323520).

413897400 is an abundant number, since it is smaller than the sum of its proper divisors (1194749640).

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

413897400 is a wasteful number, since it uses less digits than its factorization.

413897400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 413897400 is about 20344.4685356979. The cubic root of 413897400 is about 745.2424176947.

The spelling of 413897400 in words is "four hundred thirteen million, eight hundred ninety-seven thousand, four hundred".