405746880 has 336 divisors, whose sum is σ = 1621536000. Its totient is φ = 84142080.

The previous prime is 405746867. The next prime is 405746897. The reversal of 405746880 is 88647504.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812871 + ... + 813369.

It is an arithmetic number, because the mean of its divisors is an integer number (4826000).

Almost surely, 2^405746880 is an apocalyptic number.

405746880 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 405746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810768000).

405746880 is an abundant number, since it is smaller than the sum of its proper divisors (1215789120).

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

405746880 is a wasteful number, since it uses less digits than its factorization.

405746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 405746880 is about 20143.1596329871. The cubic root of 405746880 is about 740.3181490516.

The spelling of 405746880 in words is "four hundred five million, seven hundred forty-six thousand, eight hundred eighty".