406273100 has 72 divisors (see below), whose sum is σ = 909504288. Its totient is φ = 157427200.

The previous prime is 406273057. The next prime is 406273103. The reversal of 406273100 is 1372604.

It is a super-2 number, since 2×406273100² = 330115663567220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406273103) 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, 807449 + ... + 807951.

It is an arithmetic number, because the mean of its divisors is an integer number (12632004).

Almost surely, 2^406273100 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 406273100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454752144).

406273100 is an abundant number, since it is smaller than the sum of its proper divisors (503231188).

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

406273100 is a wasteful number, since it uses less digits than its factorization.

406273100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 406273100 is about 20156.2174030744. The cubic root of 406273100 is about 740.6380545095.

The spelling of 406273100 in words is "four hundred six million, two hundred seventy-three thousand, one hundred".