406829700 has 54 divisors (see below), whose sum is σ = 1275187914. Its totient is φ = 108487680.

The previous prime is 406829693. The next prime is 406829707. The reversal of 406829700 is 7928604.

It is an interprime number because it is at equal distance from previous prime (406829693) and next prime (406829707).

It can be written as a sum of positive squares in 3 ways, for example, as 16451136 + 390378564 = 4056^2 + 19758^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (406829707) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225117 + ... + 226916.

It is an arithmetic number, because the mean of its divisors is an integer number (23614591).

Almost surely, 2^406829700 is an apocalyptic number.

It is an amenable number.

406829700 is an abundant number, since it is smaller than the sum of its proper divisors (868358214).

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

406829700 is a wasteful number, since it uses less digits than its factorization.

406829700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452053 (or 452043 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 406829700 is about 20170.0198314231. The cubic root of 406829700 is about 740.9761284360.

The spelling of 406829700 in words is "four hundred six million, eight hundred twenty-nine thousand, seven hundred".