406103040 has 264 divisors, whose sum is σ = 1609433280. Its totient is φ = 92749824.

The previous prime is 406103039. The next prime is 406103063. The reversal of 406103040 is 40301604.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321931 + ... + 323189.

Almost surely, 2^406103040 is an apocalyptic number.

406103040 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 406103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804716640).

406103040 is an abundant number, since it is smaller than the sum of its proper divisors (1203330240).

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

406103040 is a wasteful number, since it uses less digits than its factorization.

406103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 406103040 is about 20151.9984120682. The cubic root of 406103040 is about 740.5346999879.

Adding to 406103040 its reverse (40301604), we get a palindrome (446404644).

The spelling of 406103040 in words is "four hundred six million, one hundred three thousand, forty".