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457463050464 = 253719206917317
BaseRepresentation
bin1101010100000101110…
…11000011000011100000
31121201210101102210020010
412222002323003003200
524443341020103324
6550053340444520
745023234525250
oct6520273030340
91551711383203
10457463050464
11167010a69752
12747ab549740
13341a55ccb54
14181d9b47960
15bd76572829
hex6a82ec30e0

457463050464 has 192 divisors, whose sum is σ = 1445401843200. Its totient is φ = 123757590528.

The previous prime is 457463050403. The next prime is 457463050469. The reversal of 457463050464 is 464050364754.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457463050469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26408334 + ... + 26425650.

It is an arithmetic number, because the mean of its divisors is an integer number (7528134600).

Almost surely, 2457463050464 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 457463050464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722700921600).

457463050464 is an abundant number, since it is smaller than the sum of its proper divisors (987938792736).

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

457463050464 is a wasteful number, since it uses less digits than its factorization.

457463050464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19425 (or 19417 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 48.

The spelling of 457463050464 in words is "four hundred fifty-seven billion, four hundred sixty-three million, fifty thousand, four hundred sixty-four".