405949248 has 126 divisors (see below), whose sum is σ = 1188729906. Its totient is φ = 132447744.

The previous prime is 405949217. The next prime is 405949253. The reversal of 405949248 is 842949504.

It can be written as a sum of positive squares in only one way, i.e., 312865344 + 93083904 = 17688^2 + 9648^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2585586 + ... + 2585742.

Almost surely, 2^405949248 is an apocalyptic number.

405949248 is a gapful number since it is divisible by the number (48) 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 405949248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594364953).

405949248 is an abundant number, since it is smaller than the sum of its proper divisors (782780658).

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

405949248 is a wasteful number, since it uses less digits than its factorization.

405949248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 405949248 is about 20148.1822505158. The cubic root of 405949248 is about 740.4412075480.

The spelling of 405949248 in words is "four hundred five million, nine hundred forty-nine thousand, two hundred forty-eight".