406435680 has 288 divisors, whose sum is σ = 1613521728. Its totient is φ = 91238400.

The previous prime is 406435663. The next prime is 406435693. The reversal of 406435680 is 86534604.

406435680 is a `hidden beast` number, since 4 + 0 + 643 + 5 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614550 + ... + 615210.

It is an arithmetic number, because the mean of its divisors is an integer number (5602506).

Almost surely, 2^406435680 is an apocalyptic number.

406435680 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 406435680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806760864).

406435680 is an abundant number, since it is smaller than the sum of its proper divisors (1207086048).

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

406435680 is a wasteful number, since it uses less digits than its factorization.

406435680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 406435680 is about 20160.2499984499. The cubic root of 406435680 is about 740.7368360732.

The spelling of 406435680 in words is "four hundred six million, four hundred thirty-five thousand, six hundred eighty".