413700 has 72 divisors (see below), whose sum is σ = 1374912. Its totient is φ = 94080.

The previous prime is 413689. The next prime is 413711. The reversal of 413700 is 7314.

It is an interprime number because it is at equal distance from previous prime (413689) and next prime (413711).

It is a super-2 number, since 2×413700² = 342295380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 413700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2002 + ... + 2198.

It is an arithmetic number, because the mean of its divisors is an integer number (19096).

2⁴¹³⁷⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687456).

413700 is an abundant number, since it is smaller than the sum of its proper divisors (961212).

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

413700 is a wasteful number, since it uses less digits than its factorization.

413700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 413700 is about 643.1951492354. The cubic root of 413700 is about 74.5123922752.

It can be divided in two parts, 41 and 3700, that added together give a triangular number (3741 = T₈₆).

The spelling of 413700 in words is "four hundred thirteen thousand, seven hundred".