405492480 has 180 divisors, whose sum is σ = 1451297232. Its totient is φ = 108103680.

The previous prime is 405492473. The next prime is 405492481. The reversal of 405492480 is 84294504.

405492480 is a `hidden beast` number, since 40 + 54 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (405492481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101725 + ... + 105635.

Almost surely, 2^405492480 is an apocalyptic number.

405492480 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 405492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725648616).

405492480 is an abundant number, since it is smaller than the sum of its proper divisors (1045804752).

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

405492480 is an equidigital number, since it uses as much as digits as its factorization.

405492480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944 (or 3921 counting only the distinct ones).

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

The square root of 405492480 is about 20136.8438440586. The cubic root of 405492480 is about 740.1633922135.

The spelling of 405492480 in words is "four hundred five million, four hundred ninety-two thousand, four hundred eighty".