407485728000 has 1728 divisors, whose sum is σ = 1706177491200. Its totient is φ = 96148684800.

The previous prime is 407485727983. The next prime is 407485728007. The reversal of 407485728000 is 827584704.

407485728000 is a `hidden beast` number, since 4 + 0 + 74 + 8 + 572 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407485728007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2931551931 + ... + 2931552069.

Almost surely, 2^407485728000 is an apocalyptic number.

407485728000 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 407485728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853088745600).

407485728000 is an abundant number, since it is smaller than the sum of its proper divisors (1298691763200).

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

407485728000 is a wasteful number, since it uses less digits than its factorization.

407485728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 407485728000 in words is "four hundred seven billion, four hundred eighty-five million, seven hundred twenty-eight thousand".