1464205428 has 72 divisors (see below), whose sum is σ = 4260459840. Its totient is φ = 415324800.

The previous prime is 1464205409. The next prime is 1464205433. The reversal of 1464205428 is 8245024641.

1464205428 is a `hidden beast` number, since 1 + 4 + 642 + 0 + 5 + 4 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1464205392 and 1464205401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14128 + ... + 55928.

Almost surely, 2^1464205428 is an apocalyptic number.

1464205428 is a gapful number since it is divisible by the number (18) 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 1464205428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130229920).

1464205428 is an abundant number, since it is smaller than the sum of its proper divisors (2796254412).

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

1464205428 is a wasteful number, since it uses less digits than its factorization.

1464205428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41957 (or 41952 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1464205428 is about 38264.9373186472. The cubic root of 1464205428 is about 1135.5353818520.

The spelling of 1464205428 in words is "one billion, four hundred sixty-four million, two hundred five thousand, four hundred twenty-eight".