405071040 has 224 divisors, whose sum is σ = 1422074880. Its totient is φ = 96870400.

The previous prime is 405071033. The next prime is 405071041. The reversal of 405071040 is 40170504.

It is a junction number, because it is equal to n+sod(n) for n = 405070998 and 405071016.

It is not an unprimeable number, because it can be changed into a prime (405071041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 939625 + ... + 940055.

Almost surely, 2^405071040 is an apocalyptic number.

405071040 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 405071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711037440).

405071040 is an abundant number, since it is smaller than the sum of its proper divisors (1017003840).

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

405071040 is a wasteful number, since it uses less digits than its factorization.

405071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 405071040 is about 20126.3767230965. The cubic root of 405071040 is about 739.9068789567.

The spelling of 405071040 in words is "four hundred five million, seventy-one thousand, forty".