405474048 has 216 divisors, whose sum is σ = 1380893696. Its totient is φ = 111974400.

The previous prime is 405474037. The next prime is 405474053. The reversal of 405474048 is 840474504.

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 23 ways as a sum of consecutive naturals, for example, 499563 + ... + 500373.

Almost surely, 2^405474048 is an apocalyptic number.

405474048 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 405474048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690446848).

405474048 is an abundant number, since it is smaller than the sum of its proper divisors (975419648).

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

405474048 is a wasteful number, since it uses less digits than its factorization.

405474048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 405474048 is about 20136.3861703137. The cubic root of 405474048 is about 740.1521771281.

The spelling of 405474048 in words is "four hundred five million, four hundred seventy-four thousand, forty-eight".