632273040 has 400 divisors, whose sum is σ = 2566764288. Its totient is φ = 141253632.

The previous prime is 632273039. The next prime is 632273071. The reversal of 632273040 is 40372236.

632273040 is a `hidden beast` number, since 632 + 27 + 3 + 0 + 4 + 0 = 666.

632273040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×632273040² = 799538394221683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 632272995 and 632273013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2403949 + ... + 2404211.

Almost surely, 2^632273040 is an apocalyptic number.

632273040 is a gapful number since it is divisible by the number (60) 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 632273040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283382144).

632273040 is an abundant number, since it is smaller than the sum of its proper divisors (1934491248).

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

632273040 is a wasteful number, since it uses less digits than its factorization.

632273040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 632273040 is about 25145.0400675760. The cubic root of 632273040 is about 858.2916510587.

The spelling of 632273040 in words is "six hundred thirty-two million, two hundred seventy-three thousand, forty".