405222948 has 216 divisors, whose sum is σ = 1229659704. Its totient is φ = 111421440.

The previous prime is 405222929. The next prime is 405222977. The reversal of 405222948 is 849222504.

405222948 is a `hidden beast` number, since 40 + 522 + 2 + 94 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79709184 + 325513764 = 8928^2 + 18042^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7645690 + ... + 7645742.

It is an arithmetic number, because the mean of its divisors is an integer number (5692869).

Almost surely, 2^405222948 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 405222948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614829852).

405222948 is an abundant number, since it is smaller than the sum of its proper divisors (824436756).

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

405222948 is a wasteful number, since it uses less digits than its factorization.

405222948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 405222948 is about 20130.1502229864. The cubic root of 405222948 is about 739.9993596293. Note that the first 3 decimals are identical.

It can be divided in two parts, 4052 and 22948, that added together give a cube (27000 = 30³).

The spelling of 405222948 in words is "four hundred five million, two hundred twenty-two thousand, nine hundred forty-eight".