405142240 has 96 divisors (see below), whose sum is σ = 1010802240. Its totient is φ = 153145344.

The previous prime is 405142237. The next prime is 405142271. The reversal of 405142240 is 42241504.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326902 + ... + 328138.

It is an arithmetic number, because the mean of its divisors is an integer number (10529190).

Almost surely, 2^405142240 is an apocalyptic number.

405142240 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 405142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505401120).

405142240 is an abundant number, since it is smaller than the sum of its proper divisors (605660000).

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

405142240 is a wasteful number, since it uses less digits than its factorization.

405142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 405142240 is about 20128.1454684727. The cubic root of 405142240 is about 739.9502279648.

Adding to 405142240 its reverse (42241504), we get a palindrome (447383744).

The spelling of 405142240 in words is "four hundred five million, one hundred forty-two thousand, two hundred forty".