405478400 has 132 divisors (see below), whose sum is σ = 1029526368. Its totient is φ = 158269440.

The previous prime is 405478387. The next prime is 405478421. The reversal of 405478400 is 4874504.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1203032 + ... + 1203368.

Almost surely, 2^405478400 is an apocalyptic number.

405478400 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 405478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514763184).

405478400 is an abundant number, since it is smaller than the sum of its proper divisors (624047968).

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

405478400 is a wasteful number, since it uses less digits than its factorization.

405478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 405478400 is about 20136.4942331082. The cubic root of 405478400 is about 740.1548251650.

The spelling of 405478400 in words is "four hundred five million, four hundred seventy-eight thousand, four hundred".