514351404 has 96 divisors (see below), whose sum is σ = 1531174400. Its totient is φ = 146266560.

The previous prime is 514351399. The next prime is 514351433. The reversal of 514351404 is 404153415.

It is a happy number.

514351404 is a `hidden beast` number, since 5 + 143 + 514 + 0 + 4 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 171639 + ... + 174609.

Almost surely, 2^514351404 is an apocalyptic number.

514351404 is a gapful number since it is divisible by the number (54) 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 514351404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765587200).

514351404 is an abundant number, since it is smaller than the sum of its proper divisors (1016822996).

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

514351404 is a wasteful number, since it uses less digits than its factorization.

514351404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 514351404 is about 22679.3166563722. The cubic root of 514351404 is about 801.2228195215. Note that the first 3 decimals are identical.

The spelling of 514351404 in words is "five hundred fourteen million, three hundred fifty-one thousand, four hundred four".