251212416 has 288 divisors, whose sum is σ = 851169600. Its totient is φ = 65415168.

The previous prime is 251212397. The next prime is 251212459. The reversal of 251212416 is 614212152.

251212416 = T₁₂₀ + T₁₂₁ + ... + T₁₁₄₆.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3179865 + ... + 3179943.

It is an arithmetic number, because the mean of its divisors is an integer number (2955450).

Almost surely, 2^251212416 is an apocalyptic number.

251212416 is a gapful number since it is divisible by the number (26) 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 251212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425584800).

251212416 is an abundant number, since it is smaller than the sum of its proper divisors (599957184).

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

251212416 is a wasteful number, since it uses less digits than its factorization.

251212416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 104 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 251212416 is about 15849.6818895522. The cubic root of 251212416 is about 630.9772487513.

Adding to 251212416 its reverse (614212152), we get a palindrome (865424568).

The spelling of 251212416 in words is "two hundred fifty-one million, two hundred twelve thousand, four hundred sixteen".