1607945472 has 288 divisors, whose sum is σ = 5494272000. Its totient is φ = 454367232.

The previous prime is 1607945461. The next prime is 1607945473. The reversal of 1607945472 is 2745497061.

1607945472 is a `hidden beast` number, since 1 + 60 + 79 + 454 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1607945473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8080029 + ... + 8080227.

Almost surely, 2^1607945472 is an apocalyptic number.

1607945472 is a gapful number since it is divisible by the number (12) 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 1607945472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747136000).

1607945472 is an abundant number, since it is smaller than the sum of its proper divisors (3886326528).

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

1607945472 is a wasteful number, since it uses less digits than its factorization.

1607945472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 1607945472 is about 40099.1954033993. The cubic root of 1607945472 is about 1171.5399577492.

The spelling of 1607945472 in words is "one billion, six hundred seven million, nine hundred forty-five thousand, four hundred seventy-two".