462049728 has 56 divisors (see below), whose sum is σ = 1397154432. Its totient is φ = 132013824.

The previous prime is 462049727. The next prime is 462049729. The reversal of 462049728 is 827940264.

It is an interprime number because it is at equal distance from previous prime (462049727) and next prime (462049729).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×462049728² = 426979902289747968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 462049728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462049723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170550 + ... + 173237.

Almost surely, 2^462049728 is an apocalyptic number.

462049728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

462049728 is an abundant number, since it is smaller than the sum of its proper divisors (935104704).

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

462049728 is a wasteful number, since it uses less digits than its factorization.

462049728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343809 (or 343799 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 462049728 is about 21495.3420070489. The cubic root of 462049728 is about 773.0891407627.

The spelling of 462049728 in words is "four hundred sixty-two million, forty-nine thousand, seven hundred twenty-eight".