425577672 has 128 divisors (see below), whose sum is σ = 1314432000. Its totient is φ = 126696960.

The previous prime is 425577653. The next prime is 425577689. The reversal of 425577672 is 276775524.

425577672 is a `hidden beast` number, since 4 + 2 + 5 + 577 + 6 + 72 = 666.

It is a super-2 number, since 2×425577672² = 362232709809879168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84604 + ... + 89492.

It is an arithmetic number, because the mean of its divisors is an integer number (10269000).

Almost surely, 2^425577672 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 425577672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657216000).

425577672 is an abundant number, since it is smaller than the sum of its proper divisors (888854328).

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

425577672 is a wasteful number, since it uses less digits than its factorization.

425577672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948 (or 4938 counting only the distinct ones).

The product of its digits is 823200, while the sum is 45.

The square root of 425577672 is about 20629.5339743776. The cubic root of 425577672 is about 752.1877879067.

The spelling of 425577672 in words is "four hundred twenty-five million, five hundred seventy-seven thousand, six hundred seventy-two".