432378578025 has 81 divisors (see below), whose sum is σ = 788848325239. Its totient is φ = 226388295840.

The previous prime is 432378577993. The next prime is 432378578069. The reversal of 432378578025 is 520875873234.

The square root of 432378578025 is 657555.

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

432378578025 is a `hidden beast` number, since 4 + 32 + 37 + 8 + 578 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 155656288089 + 276722289936 = 394533^2 + 526044^2 .

It is not a de Polignac number, because 432378578025 - 2⁵ = 432378577993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 581935804 + ... + 581936546.

Almost surely, 2^432378578025 is an apocalyptic number.

432378578025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

432378578025 is the 657555-th square number.

432378578025 is the 328778-th centered octagonal number.

It is an amenable number.

432378578025 is a deficient number, since it is larger than the sum of its proper divisors (356469747214).

432378578025 is an frugal number, since it uses more digits than its factorization.

432378578025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 432378578025 in words is "four hundred thirty-two billion, three hundred seventy-eight million, five hundred seventy-eight thousand, twenty-five".