457152020 has 48 divisors (see below), whose sum is σ = 1061831568. Its totient is φ = 164229120.

The previous prime is 457152011. The next prime is 457152029. The reversal of 457152020 is 20251754.

It is an interprime number because it is at equal distance from previous prime (457152011) and next prime (457152029).

It can be written as a sum of positive squares in 8 ways, for example, as 15984004 + 441168016 = 3998^2 + 21004^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457152029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14141 + ... + 33380.

It is an arithmetic number, because the mean of its divisors is an integer number (22121491).

Almost surely, 2^457152020 is an apocalyptic number.

It is an amenable number.

457152020 is an abundant number, since it is smaller than the sum of its proper divisors (604679548).

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

457152020 is a wasteful number, since it uses less digits than its factorization.

457152020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47580 (or 47578 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 457152020 is about 21381.1136286209. The cubic root of 457152020 is about 770.3478610395.

The spelling of 457152020 in words is "four hundred fifty-seven million, one hundred fifty-two thousand, twenty".