514954440 has 384 divisors, whose sum is σ = 2248646400. Its totient is φ = 98703360.

The previous prime is 514954439. The next prime is 514954487. The reversal of 514954440 is 44459415.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 514954395 and 514954404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359646 + ... + 361074.

It is an arithmetic number, because the mean of its divisors is an integer number (5855850).

Almost surely, 2^514954440 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 514954440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124323200).

514954440 is an abundant number, since it is smaller than the sum of its proper divisors (1733691960).

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

514954440 is a wasteful number, since it uses less digits than its factorization.

514954440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 514954440 is about 22692.6076068838. The cubic root of 514954440 is about 801.5358205157.

The spelling of 514954440 in words is "five hundred fourteen million, nine hundred fifty-four thousand, four hundred forty".