214457040 has 240 divisors, whose sum is σ = 871872768. Its totient is φ = 46116864.

The previous prime is 214457011. The next prime is 214457051. The reversal of 214457040 is 40754412.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 214456995 and 214457013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84429 + ... + 86931.

Almost surely, 2^214457040 is an apocalyptic number.

214457040 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 214457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435936384).

214457040 is an abundant number, since it is smaller than the sum of its proper divisors (657415728).

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

214457040 is a wasteful number, since it uses less digits than its factorization.

214457040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 214457040 is about 14644.3518122176. The cubic root of 214457040 is about 598.5679179545.

The spelling of 214457040 in words is "two hundred fourteen million, four hundred fifty-seven thousand, forty".