406424620 has 72 divisors (see below), whose sum is σ = 997723440. Its totient is φ = 138660480.

The previous prime is 406424609. The next prime is 406424621. The reversal of 406424620 is 26424604.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406424621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223515 + ... + 225325.

It is an arithmetic number, because the mean of its divisors is an integer number (13857270).

Almost surely, 2^406424620 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 406424620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498861720).

406424620 is an abundant number, since it is smaller than the sum of its proper divisors (591298820).

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

406424620 is a wasteful number, since it uses less digits than its factorization.

406424620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 406424620 is about 20159.9756944298. The cubic root of 406424620 is about 740.7301169915.

It can be divided in two parts, 406424 and 620, that added together give a square (407044 = 638²).

The spelling of 406424620 in words is "four hundred six million, four hundred twenty-four thousand, six hundred twenty".