405074880 has 336 divisors, whose sum is σ = 1620463104. Its totient is φ = 90961920.

The previous prime is 405074869. The next prime is 405074881. The reversal of 405074880 is 88470504.

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

It is a super-4 number, since 4×405074880⁴ (a number of 36 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405074881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1431219 + ... + 1431501.

Almost surely, 2^405074880 is an apocalyptic number.

405074880 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 405074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810231552).

405074880 is an abundant number, since it is smaller than the sum of its proper divisors (1215388224).

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

405074880 is a wasteful number, since it uses less digits than its factorization.

405074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 405074880 is about 20126.4721200711. The cubic root of 405074880 is about 739.9092170103.

The spelling of 405074880 in words is "four hundred five million, seventy-four thousand, eight hundred eighty".