413375400 has 480 divisors, whose sum is σ = 1620432000. Its totient is φ = 97044480.

The previous prime is 413375393. The next prime is 413375401. The reversal of 413375400 is 4573314.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (413375401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5232561 + ... + 5232639.

It is an arithmetic number, because the mean of its divisors is an integer number (3375900).

Almost surely, 2^413375400 is an apocalyptic number.

413375400 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 413375400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810216000).

413375400 is an abundant number, since it is smaller than the sum of its proper divisors (1207056600).

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

413375400 is a wasteful number, since it uses less digits than its factorization.

413375400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 413375400 is about 20331.6354482368. The cubic root of 413375400 is about 744.9289904243.

The spelling of 413375400 in words is "four hundred thirteen million, three hundred seventy-five thousand, four hundred".