407219472 has 120 divisors (see below), whose sum is σ = 1283513088. Its totient is φ = 119404800.

The previous prime is 407219431. The next prime is 407219539. The reversal of 407219472 is 274912704.

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

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, 44958 + ... + 53250.

Almost surely, 2^407219472 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 407219472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641756544).

407219472 is an abundant number, since it is smaller than the sum of its proper divisors (876293616).

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

407219472 is a wasteful number, since it uses less digits than its factorization.

407219472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8349 (or 8340 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 407219472 is about 20179.6796803121. The cubic root of 407219472 is about 741.2126889775.

The spelling of 407219472 in words is "four hundred seven million, two hundred nineteen thousand, four hundred seventy-two".