250477920 has 480 divisors, whose sum is σ = 1106493696. Its totient is φ = 51840000.

The previous prime is 250477919. The next prime is 250477921. The reversal of 250477920 is 29774052.

It is an interprime number because it is at equal distance from previous prime (250477919) and next prime (250477921).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250477921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 997795 + ... + 998045.

Almost surely, 2^250477920 is an apocalyptic number.

250477920 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 250477920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553246848).

250477920 is an abundant number, since it is smaller than the sum of its proper divisors (856015776).

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

250477920 is a wasteful number, since it uses less digits than its factorization.

250477920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 250477920 is about 15826.4942422509. The cubic root of 250477920 is about 630.3616970638.

The spelling of 250477920 in words is "two hundred fifty million, four hundred seventy-seven thousand, nine hundred twenty".