406938240 has 384 divisors, whose sum is σ = 1512276480. Its totient is φ = 100638720.

The previous prime is 406938239. The next prime is 406938251. The reversal of 406938240 is 42839604.

It is a happy number.

406938240 is a `hidden beast` number, since 406 + 9 + 3 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 406938195 and 406938204.

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, 7678054 + ... + 7678106.

It is an arithmetic number, because the mean of its divisors is an integer number (3938220).

Almost surely, 2^406938240 is an apocalyptic number.

406938240 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 406938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756138240).

406938240 is an abundant number, since it is smaller than the sum of its proper divisors (1105338240).

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

406938240 is a wasteful number, since it uses less digits than its factorization.

406938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 406938240 is about 20172.7102789883. The cubic root of 406938240 is about 741.0420187398.

The spelling of 406938240 in words is "four hundred six million, nine hundred thirty-eight thousand, two hundred forty".