405141048 has 128 divisors (see below), whose sum is σ = 1219276800. Its totient is φ = 123907968.

The previous prime is 405141029. The next prime is 405141053. The reversal of 405141048 is 840141504.

It is a happy number.

405141048 is a `hidden beast` number, since 40 + 514 + 104 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625861 + ... + 626507.

It is an arithmetic number, because the mean of its divisors is an integer number (9525600).

Almost surely, 2^405141048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405141048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609638400).

405141048 is an abundant number, since it is smaller than the sum of its proper divisors (814135752).

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

405141048 is a wasteful number, since it uses less digits than its factorization.

405141048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 405141048 is about 20128.1158581721. The cubic root of 405141048 is about 739.9495022760.

The spelling of 405141048 in words is "four hundred five million, one hundred forty-one thousand, forty-eight".