464042250 has 384 divisors, whose sum is σ = 1587755520. Its totient is φ = 99792000.

The previous prime is 464042221. The next prime is 464042279. The reversal of 464042250 is 52240464.

464042250 is a `hidden beast` number, since 4 + 6 + 404 + 2 + 250 = 666.

It is an interprime number because it is at equal distance from previous prime (464042221) and next prime (464042279).

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7607220 + ... + 7607280.

It is an arithmetic number, because the mean of its divisors is an integer number (4134780).

Almost surely, 2^464042250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464042250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793877760).

464042250 is an abundant number, since it is smaller than the sum of its proper divisors (1123713270).

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

464042250 is a wasteful number, since it uses less digits than its factorization.

464042250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 464042250 is about 21541.6399097190. The cubic root of 464042250 is about 774.1988251908.

The spelling of 464042250 in words is "four hundred sixty-four million, forty-two thousand, two hundred fifty".