251632040 has 64 divisors (see below), whose sum is σ = 620991360. Its totient is φ = 91006720.

The previous prime is 251632039. The next prime is 251632057. The reversal of 251632040 is 40236152.

It is a junction number, because it is equal to n+sod(n) for n = 251631997 and 251632015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85229 + ... + 88131.

It is an arithmetic number, because the mean of its divisors is an integer number (9702990).

Almost surely, 2^251632040 is an apocalyptic number.

251632040 is a gapful number since it is divisible by the number (20) 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 251632040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310495680).

251632040 is an abundant number, since it is smaller than the sum of its proper divisors (369359320).

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

251632040 is a wasteful number, since it uses less digits than its factorization.

251632040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 251632040 is about 15862.9139819896. The cubic root of 251632040 is about 631.3283804252.

Adding to 251632040 its reverse (40236152), we get a palindrome (291868192).

The spelling of 251632040 in words is "two hundred fifty-one million, six hundred thirty-two thousand, forty".