425547475600 has 225 divisors, whose sum is σ = 1113341432343. Its totient is φ = 156311101440.

The previous prime is 425547475571. The next prime is 425547475601. The reversal of 425547475600 is 6574745524.

The square root of 425547475600 is 652340.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 57651851664 + 367895623936 = 240108^2 + 606544^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (425547475601) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2204909104 + ... + 2204909296.

Almost surely, 2^425547475600 is an apocalyptic number.

425547475600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

425547475600 is the 652340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425547475600

425547475600 is an abundant number, since it is smaller than the sum of its proper divisors (687793956743).

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

425547475600 is an frugal number, since it uses more digits than its factorization.

425547475600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 49.

Multiplying 425547475600 by its sum of digits (49), we get a square (20851826304400 = 4566380²).

The spelling of 425547475600 in words is "four hundred twenty-five billion, five hundred forty-seven million, four hundred seventy-five thousand, six hundred".