514211148 has 72 divisors (see below), whose sum is σ = 1422622656. Its totient is φ = 155311200.

The previous prime is 514211147. The next prime is 514211171. The reversal of 514211148 is 841112415.

It is a happy number.

514211148 is a `hidden beast` number, since 514 + 2 + 1 + 1 + 148 = 666.

It is not an unprimeable number, because it can be changed into a prime (514211147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129115 + ... + 133037.

It is an arithmetic number, because the mean of its divisors is an integer number (19758648).

Almost surely, 2^514211148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514211148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711311328).

514211148 is an abundant number, since it is smaller than the sum of its proper divisors (908411508).

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

514211148 is a wasteful number, since it uses less digits than its factorization.

514211148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4270 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 514211148 is about 22676.2242888890. The cubic root of 514211148 is about 801.1499857073.

It can be divided in two parts, 5142 and 11148, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 514211148 in words is "five hundred fourteen million, two hundred eleven thousand, one hundred forty-eight".