406755990 has 96 divisors (see below), whose sum is σ = 1127692800. Its totient is φ = 101424960.

The previous prime is 406755977. The next prime is 406755997. The reversal of 406755990 is 99557604.

It is a happy number.

406755990 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 559 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406755997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133585 + ... + 136595.

It is an arithmetic number, because the mean of its divisors is an integer number (11746800).

Almost surely, 2^406755990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406755990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563846400).

406755990 is an abundant number, since it is smaller than the sum of its proper divisors (720936810).

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

406755990 is a wasteful number, since it uses less digits than its factorization.

406755990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 406755990 is about 20168.1925318061. The cubic root of 406755990 is about 740.9313753535.

It can be divided in two parts, 40675 and 5990, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 406755990 in words is "four hundred six million, seven hundred fifty-five thousand, nine hundred ninety".