406610520 has 64 divisors (see below), whose sum is σ = 1228785120. Its totient is φ = 107633664.

The previous prime is 406610497. The next prime is 406610521. The reversal of 406610520 is 25016604.

It is a super-2 number, since 2×406610520² = 330664229949340800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406610521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4074 + ... + 28806.

Almost surely, 2^406610520 is an apocalyptic number.

406610520 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 406610520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614392560).

406610520 is an abundant number, since it is smaller than the sum of its proper divisors (822174600).

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

406610520 is a wasteful number, since it uses less digits than its factorization.

406610520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24884 (or 24880 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 406610520 is about 20164.5857879600. The cubic root of 406610520 is about 740.8430372660.

The spelling of 406610520 in words is "four hundred six million, six hundred ten thousand, five hundred twenty".