406033680 has 160 divisors (see below), whose sum is σ = 1364912640. Its totient is φ = 99256320.

The previous prime is 406033679. The next prime is 406033681. The reversal of 406033680 is 86330604.

It is an interprime number because it is at equal distance from previous prime (406033679) and next prime (406033681).

It is a super-3 number, since 3×406033680³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (406033681) 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 31 ways as a sum of consecutive naturals, for example, 564361 + ... + 565079.

It is an arithmetic number, because the mean of its divisors is an integer number (8530704).

Almost surely, 2^406033680 is an apocalyptic number.

406033680 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 406033680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682456320).

406033680 is an abundant number, since it is smaller than the sum of its proper divisors (958878960).

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

406033680 is a wasteful number, since it uses less digits than its factorization.

406033680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 406033680 is about 20150.2774174452. The cubic root of 406033680 is about 740.4925379369.

The spelling of 406033680 in words is "four hundred six million, thirty-three thousand, six hundred eighty".