1351465920 has 336 divisors, whose sum is σ = 5439582720. Its totient is φ = 301529088.

The previous prime is 1351465897. The next prime is 1351465943. The reversal of 1351465920 is 295641531.

1351465920 is a `hidden beast` number, since 13 + 51 + 4 + 6 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1351465897) and next prime (1351465943).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866101 + ... + 867659.

Almost surely, 2^1351465920 is an apocalyptic number.

1351465920 is a gapful number since it is divisible by the number (10) 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 1351465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719791360).

1351465920 is an abundant number, since it is smaller than the sum of its proper divisors (4088116800).

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

1351465920 is a wasteful number, since it uses less digits than its factorization.

1351465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1351465920 is about 36762.2893737591. The cubic root of 1351465920 is about 1105.6093415842.

The spelling of 1351465920 in words is "one billion, three hundred fifty-one million, four hundred sixty-five thousand, nine hundred twenty".