413453345400 has 144 divisors (see below), whose sum is σ = 1392517737000. Its totient is φ = 109936323840.

The previous prime is 413453345387. The next prime is 413453345411. The reversal of 413453345400 is 4543354314.

413453345400 is a `hidden beast` number, since 4 + 1 + 34 + 53 + 34 + 540 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 293626 + ... + 955574.

Almost surely, 2^413453345400 is an apocalyptic number.

413453345400 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 413453345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696258868500).

413453345400 is an abundant number, since it is smaller than the sum of its proper divisors (979064391600).

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

413453345400 is a wasteful number, since it uses less digits than its factorization.

413453345400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662318 (or 662306 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 413453345400 its reverse (4543354314), we get a palindrome (417996699714).

The spelling of 413453345400 in words is "four hundred thirteen billion, four hundred fifty-three million, three hundred forty-five thousand, four hundred".