415720 has 32 divisors (see below), whose sum is σ = 986400. Its totient is φ = 157248.

The previous prime is 415717. The next prime is 415721. The reversal of 415720 is 27514.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (415721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487 + ... + 1033.

It is an arithmetic number, because the mean of its divisors is an integer number (30825).

2⁴¹⁵⁷²⁰ is an apocalyptic number.

415720 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 415720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493200).

415720 is an abundant number, since it is smaller than the sum of its proper divisors (570680).

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

415720 is a wasteful number, since it uses less digits than its factorization.

415720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 415720 is about 644.7635225414. The cubic root of 415720 is about 74.6334709298.

The spelling of 415720 in words is "four hundred fifteen thousand, seven hundred twenty".