407021472 has 144 divisors (see below), whose sum is σ = 1359959328. Its totient is φ = 113840640.

The previous prime is 407021443. The next prime is 407021491. The reversal of 407021472 is 274120704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36243 + ... + 46125.

It is an arithmetic number, because the mean of its divisors is an integer number (9444162).

Almost surely, 2^407021472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407021472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679979664).

407021472 is an abundant number, since it is smaller than the sum of its proper divisors (952937856).

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

407021472 is a wasteful number, since it uses less digits than its factorization.

407021472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9923 (or 9912 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 407021472 is about 20174.7731585760. The cubic root of 407021472 is about 741.0925376300.

The spelling of 407021472 in words is "four hundred seven million, twenty-one thousand, four hundred seventy-two".