406733680 has 20 divisors (see below), whose sum is σ = 945655992. Its totient is φ = 162693440.

The previous prime is 406733623. The next prime is 406733693. The reversal of 406733680 is 86337604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2542006 + ... + 2542165.

Almost surely, 2^406733680 is an apocalyptic number.

406733680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406733680 is an abundant number, since it is smaller than the sum of its proper divisors (538922312).

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

406733680 is a wasteful number, since it uses less digits than its factorization.

406733680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084184 (or 5084178 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 406733680 is about 20167.6394255748. The cubic root of 406733680 is about 740.9178287542.

The spelling of 406733680 in words is "four hundred six million, seven hundred thirty-three thousand, six hundred eighty".